Found 88 Documents (Results 1–88)
Structure of nets over quadratic fields. (English. Russian original) Zbl 1525.13028
Sib. Math. J. 64, No. 3, 725-730 (2023); translation from Vladikavkaz. Mat. Zh. 24, No. 3, 87-95 (2022).
Polynomial identities in Novikov algebras. (English) Zbl 1515.17006
Reviewer: Alexander B. Levin (Washington)
Symmetric polynomials in free associative algebras. (English) Zbl 1504.13008
Reviewer: Can Mahir Bilen (New Orleans)
On the lengths of group algebras of finite abelian groups in the modular case. (English) Zbl 1504.13019
Reviewer: Simion Sorin Breaz (Cluj-Napoca)
Modules over discrete valuation domains. III. (English. Russian original) Zbl 1472.13018
J. Math. Sci., New York 258, No. 2, 199-221 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 164, 74-95 (2019).
Heuristic algorithms for recognition of some cubic hypersurfaces. (English. Russian original) Zbl 1474.14079
Program. Comput. Softw. 47, No. 1, 50-55 (2021); translation from Programmirovanie 47, No. 1, 65-72 (2021).
Differential algebraic dependence and Novikov dependence. (English) Zbl 1475.12008
Reviewer: Alexander B. Levin (Washington)
Embedding of elementary net into gap of nets. (English. Russian original) Zbl 1498.20124
J. Math. Sci., New York 252, No. 6, 825-828 (2021); translation from Zap. Nauchn. Semin. POMI 484, 115-120 (2019).
A Gröbner-Shirshov basis over a special type of braid monoids. (English) Zbl 1490.13036
Reviewer: Cenap Özel (İzmir)
The skew-commutator relations and Gröbner-Shirshov bases of quantum group of type \(C_3\). (English) Zbl 1470.16047
A correspondence between commutative rings and Jordan loops. (English. Russian original) Zbl 1454.20122
Algebra Logic 58, No. 6, 494-513 (2020); translation from Algebra Logika 58, No. 6, 741-768 (2019).
The Nowicki conjecture for relatively free algebras. (English) Zbl 1454.16029
Reviewer: Victor Petrogradsky (Brasília)
Locally nilpotent derivations of free algebra of rank two. (English) Zbl 1481.16027
Reviewer: Mykola Khrypchenko (Florianópolis)
Additive primitive length in relatively free algebras. (English) Zbl 1429.17007
Reviewer: Şehmus Findik (Adana)
Gröbner-Shirshov basis method for multiple tensor products of some associative algebras. (English) Zbl 1406.16023
The Grothendieck group \(K_0\) of an arbitrary csp-ring. (Russian. English summary) Zbl 1506.19001
An embedding theorem for an elementary net. (Russian. English summary) Zbl 1444.13012
Projections of finite commutative rings with identity. (English. Russian original) Zbl 1404.16029
Algebra Logic 57, No. 3, 186-200 (2018); translation from Algebra Logika 57, No. 3, 285-305 (2018).
Cocommutative elements form a maximal commutative subalgebra in quantum matrices. (English) Zbl 1418.16020
Base fields of csp-rings. II. (English. Russian original) Zbl 1407.13008
J. Math. Sci., New York 230, No. 3, 451-456 (2018); translation from Fundam. Prikl. Mat. 20, No. 5, 149-156 (2015).
Cyclical elementary nets. (Russian. English summary) Zbl 1446.20072
Rationality of Hilbert series in noncommutative invariant theory. (English) Zbl 1405.16032
Reviewer: Victor Petrogradsky (Brasilia)
Gröbner-Shirshov bases for some Lie algebras. (English. Russian original) Zbl 1402.17014
Sib. Math. J. 58, No. 1, 176-182 (2017); translation from Sib. Mat. Zh. 58, No. 1, 230-237 (2017).
An elementary net associated with the elementary group. (Russian. English summary) Zbl 1499.20116
Gröbner-Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\). (English) Zbl 1357.16017
Reviewer: Manuel Avelino Insua Hermo (Noia)
Noether bound for invariants in relatively free algebras. (English) Zbl 1348.16017
Reviewer: Plamen Koshlukov (Campinas)
Gröbner-Shirshov bases of irreducible modules of the quantum group of type \(G_2\). (English) Zbl 1377.17020
Gröbner-Shirshov basis for degenerate Ringel-Hall algebras of type \(F_4\). (English) Zbl 1360.17016
Algorithmic problems for differential polynomial algebras. (English) Zbl 1371.12005
Reviewer: Chen Yuqun (Guangzhou)
The tensor product and quasiorder of an algebra related to Cohen-Macaulay rings. (English) Zbl 1527.13029
Gröbner-Shirshov bases of irreducible modules over the quantum group \(U_q(F_4)\). (English) Zbl 1364.17021
Reviewer: Chen Yuqun (Guangzhou)
On tame and wild automorphisms of algebras. (English. Russian original) Zbl 1339.16026
J. Math. Sci., New York 206, No. 6, 660-667 (2015); translation from Fundam. Prikl. Mat. 18, No. 4, 79-88 (2013).
Reviewer: Vesselin Drensky (Sofia)
Nonlinear permutations recursively generated over the Galois ring of characteristic 4. (Russian. English summary) Zbl 1475.05004
The Jacobian conjecture, together with Specht and Burnside-type problems. (English) Zbl 1327.14256
Cheltsov, Ivan (ed.) et al., Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, October 29 – November 3, 2012. Cham: Springer (ISBN 978-3-319-05680-7/hbk; 978-3-319-05681-4/ebook). Springer Proceedings in Mathematics & Statistics 79, 249-285 (2014).
Finite rings with some restrictions on zero-divisor graphs. (English. Russian original) Zbl 1329.16016
Russ. Math. 58, No. 12, 41-50 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 12, 48-59 (2014).
Gröbner-Shirshov bases and their calculation. (English) Zbl 1350.13001
Reviewer: Vesselin Drensky (Sofia)
Gröbner-Shirshov bases for commutative algebras with multiple operators and free commutative Rota-Baxter algebras. (English) Zbl 1318.16023
Reviewer: Chen Yuqun (Guangzhou)
The coordinate ring of an \(n\)-dimensional sphere and some examples of differentially simple algebras. (English. Russian original) Zbl 1387.17006
Algebra Logic 52, No. 4, 277-289 (2013); translation from Algebra Logika 52, No. 4, 416-434 (2013).
Matrix identities with forms. (English) Zbl 1294.16016
Reviewer: Plamen Koshlukov (Campinas)
Gröbner-Shirshov bases for \(L\)-algebras. (English) Zbl 1282.17004
Reviewer: Manuel Avelino Insua Hermo (Noia)
On the projective commutant of Abelian groups. (English. Russian original) Zbl 1281.20064
Sib. Math. J. 53, No. 2, 361-370 (2012); translation from Sib. Mat. Zh. 53, No. 2, 451-464 (2012).
Reviewer: Nako Nachev (Plovdiv)
On the extraction of roots in exponential \(A\)-groups. II. (English) Zbl 1248.20040
Reviewer: Bui Xuan Hai (Ho Chi Minh City)
Categorical Horn theories and modules. (English) Zbl 1264.03089
Sib. Math. J. 52, No. 6, 1056-1064 (2011); translation from Sib. Mat. Zh. 52, No. 6, 1329-1340 (2011).
Reviewer: Thomas Kucera (Winnipeg)
The Freiheitssatz for Poisson algebras. (English) Zbl 1285.17007
Reviewer: Vesselin Drensky (Sofia)
Gröbner-Shirshov bases for Rota-Baxter algebras. (English. Russian original) Zbl 1235.16021
Sib. Math. J. 51, No. 6, 978-988 (2010); translation from Sib. Mat. Zh. 51, No. 6, 1237-1250 (2010).
An algorithm to restore a linear recurring sequence over the ring \(R = \mathbb Z_{p^n}\) from a linear complication of its highest coordinate sequence. (English. Russian original) Zbl 1225.94012
Discrete Math. Appl. 20, No. 5-6, 591-609 (2010); translation from Diskretn. Mat. 22, No. 4, 104-120 (2010).
On the extraction of roots in exponential \(A\)-groups. (English) Zbl 1238.20054
Reviewer: Bui Xuan Hai (Ho Chi Minh City)
Power-commutative nilpotent \(R\)-powered groups. (English) Zbl 1209.20036
Reviewer: Alessio Russo (Napoli)
Finite rings with applications. (English) Zbl 1197.16027
Hazewinkel, M. (ed.), Handbook of algebra. Volume 5. Amsterdam: Elsevier/Noth-Holland (ISBN 978-0-444-53101-8/hbk). Handbook of Algebra 5, 213-320 (2008).
Modules over discrete valuation domains. II. (English. Russian original) Zbl 1229.13018
J. Math. Sci., New York 151, No. 5, 3255-3371 (2008); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 122 (2006).
Gröbner-Shirshov bases for Schreier extensions of groups. (English) Zbl 1206.20027
Reviewer: Leonid A. Bokut’ (Novosibirsk)
Modules over discrete valuation domains. I. (English. Russian original) Zbl 1178.13012
J. Math. Sci., New York 145, No. 4, 4997-5117 (2007); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 121 (2006).
Reviewer: Simion Sorin Breaz (Cluj-Napoca)
An invariant for quadratic forms valued in Galois rings of characteristic 4. (English) Zbl 1137.11024
Reviewer: Marek Szyjewski (Katowice)
Graded algebras and their differential graded extensions. (English. Russian original) Zbl 1131.16005
J. Math. Sci., New York 142, No. 4, 2267-2301 (2007); translation from Sovrem. Mat. Prilozh. 30, 65-100 (2005).
Reviewer: Constantin Năstăsescu (Bucureşti)
Algebra. Dedicated to the seventieth birthday of Professor Viktor Nikolaevich Latyshev. Part 1. Transl. from the Russian. (English) Zbl 1078.16501
The tame and the wild automorphisms of polynomial rings in three variables. (English) Zbl 1056.14085
Reviewer: Marek S. Karaś (Kraków)
Gröbner bases and the Nagata automorphism. (English) Zbl 0932.13013
Reviewer: Gregor Kemper (Heidelberg)
Rings which are sums of finite fields. (English) Zbl 0924.16021
Reviewer: Jan Okniński (St.John’s)
\(RC^ \ast\)-fields. (English. Russian original) Zbl 0827.12007
Algebra Logic 33, No. 4, 205-215 (1994); translation from Algebra Logika 33, No. 4, 367-386 (1994).
Reviewer: G.Pestov (Tomsk)
Superdecomposable pure injective modules over commutative valuation rings. (English. Russian original) Zbl 0810.13008
Algebra Logic 31, No. 6, 377-386 (1992); translation from Algebra Logika 31, No. 6, 655-671 (1992).
Reviewer: Th.Kucera (Winnipeg)
Noncommutative classical invariant theory. (English) Zbl 0807.20015
Reviewer: V.Ufnarovskij (Lund)
Differential and difference algebra. (English. Russian original) Zbl 0666.12018
Quantifier elimination for modules. (English) Zbl 0609.03011
Reviewer: P.Rothmaler
Algebraic K-theory. (English) Zbl 0559.18007
On the composition of derivations. (English) Zbl 0561.16015
Reviewer: L.O.Chung
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