Zhang, Huhu; Gao, Xing; Guo, Li Compatible structures of nonsymmetric operads, Manin products and Koszul duality. (English) Zbl 1531.18019 Appl. Categ. Struct. 32, No. 1, Paper No. 2, 33 p. (2024). Reviewer: Loïc Foissy (Calais) MSC: 18M70 18M65 05C05 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gustavson, R.; Rosen, S. A reduction algorithm for Volterra integral equations. (English) Zbl 1534.45002 PUMP J. Undergrad. Res. 6, 172-191 (2023). Reviewer: Gustaf Gripenberg (Aalto) MSC: 45D05 45P05 47G10 45L05 05C05 05C85 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Gao, Xing; Guo, Li; Liu, Yanjun; Zhu, Zhi-Cheng Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects. (English) Zbl 1530.20100 Commun. Algebra 51, No. 11, 4481-4500 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F28 05E16 17B38 20E05 20F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Foissy, Loïc; Peng, Xiao-Song Typed angularly decorated planar rooted trees and generalized Rota-Baxter algebras. (English) Zbl 1517.17016 J. Algebr. Comb. 57, No. 1, 271-303 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 05C05 16S10 08B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Huhu; Gao, Xing; Guo, Li Operator identities on Lie algebras, rewriting systems and Gröbner-Shirshov bases. (English) Zbl 1517.17020 J. Algebra 620, 585-629 (2023). MSC: 17B40 17B38 16Z10 17A61 16S10 05A05 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Xing; Zhang, Huhu; Guo, Li Rota’s program on algebraic operators, rewriting systems and Gröbner-Shirshov bases. (English) Zbl 1524.16086 Adv. Math., Beijing 51, No. 1, 1-31 (2022). MSC: 16W99 05A05 16Z10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yi; Gao, Xing; Guo, Li Hopf algebra of multidecorated rooted forests, free matching Rota-Baxter algebras and Gröbner-Shirshov bases. (English) Zbl 1506.16047 Pac. J. Math. 317, No. 2, 441-475 (2022). Reviewer: Loïc Foissy (Calais) MSC: 16T30 17B38 05C05 05E16 16Z10 16S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xigou; Xu, Anqi; Guo, Li Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees. (English) Zbl 1491.17013 J. Algebr. Comb. 55, No. 4, 1331-1349 (2022). Reviewer: Loïc Foissy (Calais) MSC: 17B38 16S10 16T05 05E16 16T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Li; Gustavson, Richard; Li, Yunnan An algebraic study of Volterra integral equations and their operator linearity. (English) Zbl 1489.16046 J. Algebra 595, 398-433 (2022). Reviewer: Loïc Foissy (Calais) MSC: 16W99 12H05 45N05 17B38 45D05 45P05 16S10 05C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Foissy, Loïc Algebraic structures on typed decorated rooted trees. (English) Zbl 1504.17002 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 086, 28 p. (2021). Reviewer: Yang Shilin (Beijing) MSC: 17A30 16T05 18M60 05C05 17B35 16T30 17D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Foissy, Loïc Typed binary trees and generalized dendrifom algebras. (English) Zbl 1478.16028 J. Algebra 586, 1-61 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T30 05C05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Li, Yunnan; Guo, Li Braided dendriform and tridendriform algebras, and braided Hopf algebras of rooted trees. (English) Zbl 1478.16023 J. Algebr. Comb. 53, No. 4, 1147-1185 (2021). Reviewer: Loïc Foissy (Calais) MSC: 16T05 16T25 16W99 05C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yi; Gao, Xing; Luo, Yanfeng Weighted infinitesimal unitary bialgebras of rooted forests, symmetric cocycles and pre-Lie algebras. (English) Zbl 1476.16041 J. Algebr. Comb. 53, No. 3, 771-803 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 16W99 05C05 16S10 16T10 16T30 17B60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yi; Gao, Xing; Guo, Li Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras. (English) Zbl 1444.16058 J. Algebra 552, 134-170 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 16W99 16T25 05C05 17D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yuanyuan; Gao, Xing; Manchon, Dominique Free (tri)dendriform family algebras. (English) Zbl 1435.16012 J. Algebra 547, 456-493 (2020). Reviewer: Loïc Foissy (Calais) MSC: 16W99 16S10 05C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yi; Chen, Dan; Gao, Xing; Luo, Yan-feng Weighted infinitesimal unitary bialgebras on rooted forests and weighted cocycles. (English) Zbl 1435.16005 Pac. J. Math. 302, No. 2, 741-766 (2019). Reviewer: Loïc Foissy (Calais) MSC: 16S10 16T10 16T30 05C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv