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Zhang, Xiaohui; Wu, Hui

The cosemisimplicity and cobraided structures of monoidal comonads. (English) Zbl 1495.18023

Front. Math. China 17, No. 3, 485-499 (2022); translation from Adv. Math., Beijing 46, No. 2, 221–233 (2017).

Reviewer: Zhan Jianming (Enshi)

MSC: 18M15 16B50 16T05

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Alonso Álvarez, J. N.; Fernández Vilaboa, J. M.; González Rodríguez, R.

Cocycle deformations for Hom-Hopf algebras. (English) Zbl 1500.17026

J. Algebra 601, 354-389 (2022).

Reviewer: García Rosendo (Guanajuato)

MSC: 17D30 16S40 16T05 18M05

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Zheng, Huihui; Chen, Yuanyuan; Zhang, Liangyun

The structure theorem of Hom-Hopf bimodules and its applications. (English) Zbl 1490.16077

Int. Electron. J. Algebra 30, 78-98 (2021).

Reviewer: Paolo Saracco (Bruxelles)

MSC: 16T05 16W99

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Liu, Linlin; Wang, Shuanhong

Symmetries and the \(u\)-condition in weak monoidal Hom-Yetter-Drinfeld categories. (English) Zbl 1496.16035

J. Algebra Appl. 20, No. 10, Article ID 2150194, 24 p. (2021).

MSC: 16T05 16T99

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Wang, Xing; Wang, Dingguo; Zhang, Xiaohui

A monoidal structure on the category of relative Hom-Hopf modules. (English) Zbl 1492.16036

Colloq. Math. 165, No. 1, 63-89 (2021).

Reviewer: Yorck Sommerhäuser (St. John’s)

MSC: 16T05 16W10

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Ning, Yan; Lu, Daowei; Zhang, Xiaohui

Drinfel’d double for monoidal Hom-Hopf algebras. (English) Zbl 1484.16038

Colloq. Math. 164, No. 2, 251-271 (2021).

Reviewer: Zhang Liangyun (Nanjing)

MSC: 16T05

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Chen, Quanguo; Tingting, Fu

Characterization of automorphisms of Hom-biproducts. (English) Zbl 1488.16087

Hacet. J. Math. Stat. 49, No. 1, 147-161 (2020).

MSC: 16T05

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Ma, Tianshui; Silvestrov, Sergei; Zheng, Huihui

On Hom-Yetter-Drinfeld category. (English) Zbl 1507.18020

Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 339-358 (2020).

MSC: 18M15 16S40 16T10 16T15 17A30

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Liu, Guohua; Wang, Wei; Wang, Shuanhong; Zhang, Xiaohui

A braided \(T\)-category over weak monoidal Hom-Hopf algebras. (English) Zbl 1460.16033

J. Algebra Appl. 19, No. 8, Article ID 2050159, 28 p. (2020).

MSC: 16T05 18M15

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Yan, Dongdong; Wang, Shuanhong

Drinfel’d construction for Hom-Hopf T-coalgebras. (English) Zbl 1459.16036

Int. J. Math. 31, No. 8, Article ID 2050058, 31 p. (2020).

MSC: 16T05 18M15 18N10

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Guo, Shuangjian; Zhang, Xiaohui; Ke, Yuanyuan

The general induction functors for the category of entwined Hom-modules. (English) Zbl 1499.16073

Filomat 33, No. 1, 27-41 (2019).

MSC: 16T05 16T15

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Guo, Huaiwen; Chen, Quanguo

Globalizations for partial Hom-module algebras. (Chinese. English summary) Zbl 1449.16059

J. Jilin Univ., Sci. 57, No. 5, 1135-1137 (2019).

MSC: 16T05

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Wang, Zhongwei; Zhang, Liangyun; Zheng, Huihui

Equivalent crossed products of monoidal Hom-Hopf algebras. (English) Zbl 1454.16038

Glas. Mat., III. Ser. 54, No. 2, 345-367 (2019).

Reviewer: Dmitry Artamonov (Moskva)

MSC: 16T05 16S40

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Wang, Wei; Zhang, Xiaohui

Coribbon forms on monoidal Hom-Hopf algebras. (Chinese. English summary) Zbl 1449.16063

J. Jilin Univ., Sci. 57, No. 3, 473-479 (2019).

MSC: 16T05 16T15

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Wang, Zhongwei; Chen, Yuanyuan; Zhang, Liangyun

Separable extensions for crossed products over monoidal Hom-Hopf algebras. (English) Zbl 1395.16038

J. Algebra Appl. 17, No. 9, Article ID 1850161, 20 p. (2018).

MSC: 16T05 16T25 18D10

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Ma, Tianshui; Liu, Linlin; Chen, Liangyun

Symmetries of \((m, n)\)-Yetter-Drinfeld categories. (English) Zbl 1427.16024

J. Algebra Appl. 17, No. 7, Article ID 1850135, 19 p. (2018).

MSC: 16T05

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Alonso Álvarez, J. N.; Fernández Vilaboa, J. M.; González Rodríguez, R.

Some remarks about monoidal Hom-algebras. (English) Zbl 1423.18018

Quaest. Math. 40, No. 2, 251-275 (2017).

MSC: 18D10 17D99

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Shen, Bingliang; Liu, Ling

Center construction and duality of category of Hom-Yetter-Drinfeld modules over monoidal Hom-Hopf algebras. (English) Zbl 1385.16032

Front. Math. China 12, No. 1, 177-197 (2017).

MSC: 16T05 18D10

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You, Miman; Zhou, Nan

Drinfeld double for monoidal Hom-Hopf group-coalgebras. (English) Zbl 1389.16065

J. Math., Wuhan Univ. 37, No. 1, 63-73 (2017).

MSC: 16T05 16T15

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Chen, Yuanyuan; Zhang, Liangyun

The structure and construction of bi-Frobenius Hom-algebras. (English) Zbl 1395.16035

Commun. Algebra 45, No. 5, 2142-2162 (2017).

MSC: 16T05 18D10 18C15 18C20

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Wang, Shengxiang; Guo, Shuangjian

Symmetric pairs and pseudosymmetries in Hom-Yetter-Drinfeld categories. (English) Zbl 1385.16033

J. Algebra Appl. 16, No. 7, Article ID 1750125, 21 p. (2017).

MSC: 16T05 16T10 18D10

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Chen, Huaxi; Guo, Shuangjian

Doi Hom-Hopf modules and Frobenius type properties. (English) Zbl 1377.16026

Colloq. Math. 148, No. 1, 69-85 (2017).

MSC: 16T05

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Ma, Tianshui; Liu, Linlin; Xu, Shaoxian

Twisted tensor biproduct monoidal Hom-Hopf algebras. (English) Zbl 1361.16022

Asian-Eur. J. Math. 10, No. 1, Article ID 1750011, 20 p. (2017).

MSC: 16T05 16T10

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Yang, Tao; Zhou, Xiaoyan

Another construction of the braided \(T\)-category. (English) Zbl 1384.16022

J. Algebra Appl. 16, No. 2, Article ID 1750035, 15 p. (2017).

MSC: 16T05

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You, Miman; Wang, Shuanhong

A generalized double crossproduct for monoidal Hom-Hopf algebras and the Drinfeld double. (English) Zbl 1361.16025

Colloq. Math. 146, No. 2, 213-238 (2017).

MSC: 16T05 16T25 16S35 18D10

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Wang, Shengxiang; Ding, Nanqing

New braided monoidal categories over monoidal Hom-Hopf algebras. (English) Zbl 1361.16024

Colloq. Math. 146, No. 1, 77-97 (2017).

MSC: 16T05 18D10 16T10

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Guo, Shuangjian; Li, Yizheng

Semisimplicity of the categories of Hom-Yetter-Drinfeld modules. (Chinese. English summary) Zbl 1389.16060

J. Shandong Univ., Nat. Sci. 51, No. 12, 17-23 (2016).

MSC: 16T05 16T25 18D10

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You, Miman; Wang, Shuanhong

Monoidal Hom-Hopf algebra on Hom-twisted product. (English) Zbl 1374.16080

J. Southeast Univ., Engl. Ed. 32, No. 3, 391-394 (2016).

MSC: 16T05 16S40

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You, Miman; Wang, Shuanhong

Constructing braided Hopf algebras in monoidal Hom-category. (English) Zbl 1357.16051

Taiwanese J. Math. 20, No. 6, 1203-1230 (2016).

MSC: 16T05 18D10

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Liu, Ling; Guo, Qiao-Ling

On twisted smash products of monoidal Hom-Hopf algebras. (English) Zbl 1351.16034

Commun. Algebra 44, No. 10, 4140-4164 (2016).

MSC: 16T05 18D10 16S40 16T10

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Maschke type theorem for Doi Hom-Hopf modules. (Chinese. English summary) Zbl 1349.16048

J. Jilin Univ., Sci. 54, No. 2, 202-206 (2016).

MSC: 16T05 18D10 16D90

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Chen, Yuanyuan; Wang, Zhongwei; Zhang, Liangyun

The fundamental theorem and Maschke’s theorem in the category of relative Hom-Hopf modules. (English) Zbl 1354.16034

Colloq. Math. 144, No. 1, 55-71 (2016).

Reviewer: Yang Shilin (Beijing)

MSC: 16T05 16T25 17A30

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Guo, Shuangjian; Wang, Shengxiang

The affineness criterion for quantum Hom-Yetter-Drinfel’d modules. (English) Zbl 1345.16033

Colloq. Math. 143, No. 2, 169-185 (2016).

MSC: 16T05 16T15 18D10

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Guo, Shuangjian; Zhang, Xiaohui; Wang, Shengxiang

Total integrals of Doi Hom-Hopf modules. (English) Zbl 1337.16026

J. Algebra Appl. 15, No. 4, Article ID 1650069, 16 p. (2016).

MSC: 16T05 16T15 18D10

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Lu, Daowei; Wang, Shuanhong

The Drinfel’d double versus the Heisenberg double for Hom-Hopf algebras. (English) Zbl 1345.16034

J. Algebra Appl. 15, No. 4, Article ID 1650059, 24 p. (2016).

Reviewer: Earl J. Taft (Piscataway)

MSC: 16T05 18D10

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Chen, Yuanyuan; Zhang, Liangyun

Hopf-Galois extensions for monoidal Hom-Hopf algebras. (English) Zbl 1349.16037

Colloq. Math. 143, No. 1, 127-147 (2016).

Reviewer: Sorin Dascalescu (Bucureşti)

MSC: 16T05 18D10

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Guo, Shuangjian; Zhang, Xiaohui; Wang, Shengxiang

Braided monoidal categories and Doi-Hopf modules for monoidal Hom-Hopf algebras. (English) Zbl 1367.16032

Colloq. Math. 143, No. 1, 79-103 (2016).

MSC: 16T05 18D10

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Guo, Shuangjian; Zhang, Xiaohui

Separable functors for the category of Doi Hom-Hopf modules. (English) Zbl 1341.16032

Colloq. Math. 143, No. 1, 23-37 (2016).

MSC: 16T05 18D10

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Zhao, Xiaofan; Zhang, Xiaohui

Lazy 2-cocycles over monoidal Hom-Hopf algebras. (English) Zbl 1375.16016

Colloq. Math. 142, No. 1, 61-81 (2016).

MSC: 16T05

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Lei, Hongmei; Wu, Zijuan; Li, Qiang

The Maschke theorem for L-R Hom-smash products. (The Maschke thoerem for L-R Hom-smash products.) (English) Zbl 1349.16049

J. Nanjing Univ., Math. Biq. 32, No. 2, 166-179 (2015).

MSC: 16T10 16S40 16T05

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You, Miman; Zhao, Xiaofan

Diagonal crossed products over monoidal Hom-Hopf algebras. (Chinese. English summary) Zbl 1349.16047

J. Shandong Univ., Nat. Sci. 50, No. 12, 76-80 (2015).

MSC: 16T05 16S40

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Guo, Shuangjian; Li, Yizheng

A Maschke theorem of Hom-crossed products. (Chinese. English summary) Zbl 1349.16040

J. Shandong Univ., Nat. Sci. 50, No. 12, 106-108 (2015).

MSC: 16T05 16S35 16S40

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You, Miman; Zhou, Nan; Wang, Shuanhong

Hom-Hopf group coalgebras and braided \(T\)-categories obtained from Hom-Hopf algebras. (English) Zbl 1329.81338

J. Math. Phys. 56, No. 11, 112302, 16 p. (2015).

Reviewer: Akira Asada (Takarazuka)

MSC: 81T45 16T05 18D10 18B99

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Zhang, Xiaohui; Wang, Shuanhong

Weak Hom-Hopf algebras and their (co)representations. (English) Zbl 1318.16033

J. Geom. Phys. 94, 50-71 (2015).

MSC: 16T05 18D10 16T15

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Guo, Shuangjian; Zhang, Xiaohui; Wang, Shengxiang

Relative Hom-Hopf modules and total integrals. (English) Zbl 1318.16034

J. Math. Phys. 56, No. 2, 021701, 16 p. (2015).

MSC: 16T10 16T05 18D10

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Guo, Shuangjian; Chen, Xiu-Li

A Maschke type theorem for relative Hom-Hopf modules. (English) Zbl 1337.16025

Czech. Math. J. 64, No. 3, 783-799 (2014).

Reviewer: Vyacheslav A. Artamonov (Moskva)

MSC: 16T05 18D10

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You, Miman; Wang, Shuanhong

Constructing new braided T-categories over monoidal Hom-Hopf algebras. (English) Zbl 1307.81061

J. Math. Phys. 55, No. 11, 111701, 16 p. (2014).

Reviewer: Ren Guo (Corvallis)

MSC: 81T45 57R56 16T05 18D10

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Chen, Yuanyuan; Wang, Zhongwei; Zhang, Liangyun

Quasitriangular Hom-Hopf algebras. (English) Zbl 1336.16031

Colloq. Math. 137, No. 1, 67-88 (2014).

Reviewer: Sorin Dascalescu (Bucureşti)

MSC: 16T05 16T25 18D10 17A30

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Li, Haiying; Ma, Tianshui

A construction of the Hom-Yetter-Drinfeld category. (English) Zbl 1306.16031

Colloq. Math. 137, No. 1, 43-65 (2014).

MSC: 16T05 18D10 16T25 16S40

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Wang, Shengxiang; Guo, Shuangjian

Symmetries and the \(u\)-condition in Hom-Yetter-Drinfeld categories. (English) Zbl 1306.16034

J. Math. Phys. 55, No. 8, 081708, 18 p. (2014).

MSC: 16T05 18D10 17A30 17B60

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Chen, Yuanyuan; Zhang, Liangyun

The category of Yetter-Drinfel’d Hom-modules and the quantum Hom-Yang-Baxter equation. (English) Zbl 1292.16022

J. Math. Phys. 55, No. 3, 031702, 18 p. (2014).

MSC: 16T05 18D10 16T25 17B62 81R50

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Chen, Yuanyuan; Wang, Zhongwei; Zhang, Liangyun

Integrals for monoidal Hom-Hopf algebras and their applications. (English) Zbl 1290.16028

J. Math. Phys. 54, No. 7, 073515, 22 p. (2013).

MSC: 16T05 18D10 17B62

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Chen, Yuanyuan; Wang, Zhongwei; Zhang, Liangyun

The FRT-type theorem for the Hom-Long equation. (English) Zbl 1287.16029

Commun. Algebra 41, No. 10, 3931-3948 (2013).

Reviewer: Daniel Bulacu (Bucharest)

MSC: 16T05 16T15 18D10

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Caenepeel, S.; Goyvaerts, I.

Monoidal Hom-Hopf algebras. (English) Zbl 1255.16032

Commun. Algebra 39, No. 6, 2216-2240 (2011).

Reviewer: Yang Shilin (Beijing)

MSC: 16T05 18D10

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