Weak polynomial identities of small degree for the Weyl algebra. (English) Zbl 07923314
MSC:
16R10
Found 945 Documents (Results 1–100)
Commuting iterates of generalized derivations on Lie ideals. (English) Zbl 07924159
Ali, Shakir (ed.) et al., Advances in ring theory and applications. Proceedings of the workshop on associative rings and algebras, WARA22, Messina, Italy, July 18–20, 2022. Cham: Springer. Springer Proc. Math. Stat. 443, 319-342 (2024).
MSC:
16-XX
Results on generalized skew bi-semiderivation in prime rings. (English) Zbl 07924158
Ali, Shakir (ed.) et al., Advances in ring theory and applications. Proceedings of the workshop on associative rings and algebras, WARA22, Messina, Italy, July 18–20, 2022. Cham: Springer. Springer Proc. Math. Stat. 443, 311-318 (2024).
MSC:
16-XX
Results on \(b\)-generalized derivations in rings. (English) Zbl 07924157
Ali, Shakir (ed.) et al., Advances in ring theory and applications. Proceedings of the workshop on associative rings and algebras, WARA22, Messina, Italy, July 18–20, 2022. Cham: Springer. Springer Proc. Math. Stat. 443, 301-310 (2024).
MSC:
16-XX
Generalized derivations with periodic values on prime rings. (English) Zbl 07924153
Ali, Shakir (ed.) et al., Advances in ring theory and applications. Proceedings of the workshop on associative rings and algebras, WARA22, Messina, Italy, July 18–20, 2022. Cham: Springer. Springer Proc. Math. Stat. 443, 231-243 (2024).
Generalized skew derivation of order 2 in prime ring with multilinear polynomial. (English) Zbl 07924148
Ali, Shakir (ed.) et al., Advances in ring theory and applications. Proceedings of the workshop on associative rings and algebras, WARA22, Messina, Italy, July 18–20, 2022. Cham: Springer. Springer Proc. Math. Stat. 443, 155-173 (2024).
MSC:
16-XX
Commutativity theorems on prime rings with generalized derivations. (English) Zbl 07924141
Ali, Shakir (ed.) et al., Advances in ring theory and applications. Proceedings of the workshop on associative rings and algebras, WARA22, Messina, Italy, July 18–20, 2022. Cham: Springer. Springer Proc. Math. Stat. 443, 61-72 (2024).
MSC:
16-XX
Generalized derivations with nilpotent values on Lie ideals in semiprime rings. (English) Zbl 07909695
Irreducible graded bimodules over algebras and a Pierce decomposition of the Jacobson radical. (English) Zbl 07909486
Convex ideals of partially pseudo-ordered rings. (English. Russian original) Zbl 07906283
J. Math. Sci., New York 283, No. 6, 948-961 (2024); translation from Fundam. Prikl. Mat. 24, No. 3, 181-199 (2023).
Topological Jacobson radicals. III. (English. Russian original) Zbl 07906276
J. Math. Sci., New York 283, No. 6, 849-895 (2024); translation from Fundam. Prikl. Mat. 24, No. 3, 39-103 (2023).
Product of generalized derivations of order 2 with derivations acting on multilinear polynomials with centralizing conditions. (English) Zbl 07905352
Composition of generalized derivations acting as a Jordan product in prime rings. (English) Zbl 07903225
Specht property for the graded identities of the pair \((M_2 (D), sl_2 (D))\). (English) Zbl 07901467
Reviewer: Vesselin Drensky (Sofia)
On the maximum dimensions of subalgebras of \(M_n (K)\) satisfying two related identities. (English) Zbl 07901457
The structure of subalgebras of full matrix algebras over a field satisfying the identity \([x_1, y_1][x_2, y_2] \cdots [x_q, y_q]=0\). (English) Zbl 07897479
Reviewer: Matyas Domokos (Budapest)
Annihilators of power central values of generalized Skew derivations on Lie ideals. (English) Zbl 07880376
Skew linear groups with rank conditions. (English) Zbl 07868226
Reviewer: Mattia Brescia (Napoli)
On left \(T\)-nilpotent rings. (English) Zbl 07851981
Reviewer: Allan Berele (Chicago)
Frobenius kernels of algebraic supergroups and Steinberg’s tensor product theorem. (English) Zbl 07815082
Jordan homoderivation behavior of generalized derivations in prime rings. (English) Zbl 1536.16039
Ukr. Math. J. 75, No. 9, 1340-1360 (2024) and Ukr. Mat. Zh. 75, No. 9, 1178-1194 (2023).
Lie centralizers and commutant preserving maps on generalized matrix algebras. (English) Zbl 07797233
Reviewer: Wu Jing (Fayetteville)
An identity with generalized skew derivations on Lie ideals. (English) Zbl 1537.16043
Reviewer: Puguh Wahyu Prasetyo (Yogyakarta)
Generalized derivations and multilinear polynomials in prime rings. (English) Zbl 1536.16016
Reviewer: Mehsin Atteya (Leicester)
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras. (English) Zbl 07796481
Reviewer: Vesselin Drensky (Sofia)
Multi-switches and representations of braid groups. (English) Zbl 1528.20052
Reviewer: Egle Bettio (Venezia)
Jordan algebras of a degenerate bilinear form: Specht property and their identities. (English) Zbl 1537.16027
Reviewer: Wen-Fong Ke (Tainan)
Binary \((-1,1)\)-bimodules over semisimple algebras. (Russian. English summary) Zbl 07896847
Gröbner-Shirshov bases for the cyclotomic Hecke algebra of type \(A\). (Chinese. English summary) Zbl 07828151
On simple finite-dimensional algebras with infinite basis of identities. (English. Russian original) Zbl 07820458
Math. Notes 114, No. 5, 845-849 (2023); translation from Mat. Zametki 114, No. 5, 753-758 (2023).
From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories. (English) Zbl 07788006
Functional identities and their applications. (English) Zbl 07787069
Reviewer: Allan Berele (Chicago)
Differential identities and polynomial growth of the codimensions. (English) Zbl 1535.16035
Reviewer: Lucio Centrone (Bari)
Rigid reflections of rank 3 Coxeter groups and reduced roots of rank 2 Kac-Moody algebras. (English) Zbl 1527.20059
Reviewer: Erich W. Ellers (Toronto)
Composition series of arbitrary cardinality in modular lattices and abelian categories. (English) Zbl 07759050
Images of multilinear graded polynomials on upper triangular matrix algebras. (English) Zbl 1526.15015
On the conjugation action for quantum general linear groups. (English) Zbl 1528.20090
Reviewer: Evgenii L. Bashkirov (Minsk)
Group-like small cancellation theory for rings. (English) Zbl 1537.16047
Reviewer: Wenchao Zhang (Huizhou)
Dual coalgebras of Jacobian \(n\)-Lie algebras over polynomial rings. (English. Russian original) Zbl 1537.17036
Sib. Math. J. 64, No. 5, 1153-1166 (2023); translation from Sib. Mat. Zh. 64, No. 5, 992-1008 (2023).
On sums of gr-PI algebras. (English) Zbl 1533.16036
Reviewer: Allan Berele (Chicago)
Two generalized derivations on Lie ideals in prime rings. (English) Zbl 1533.16033
Reviewer: Nadeem ur Rehman (Aligarh)
Representations via differential algebras and equationally Noetherian algebras. (English) Zbl 1531.12003
Reviewer: Plamen Koshlukov (Campinas)
Differential codimensions and exponential growth. (English) Zbl 1530.16024
Reviewer: Vesselin Drensky (Sofia)
Specht property of varieties of graded Lie algebras. (English) Zbl 1527.16024
Reviewer: Allan Berele (Chicago)
\(\delta\)-\(r\)-hyperideals and \(\phi\)-\(\delta\)-\(r\)-hyperideals of commutative Krasner hyperrings. (English) Zbl 1515.16044
On \(b\)-generalized derivations in prime rings. (English) Zbl 1530.16021
Reviewer: Nadeem ur Rehman (Aligarh)
Identities of the algebra \(\mathbb{O}\otimes\mathbb{O}\). (English) Zbl 1523.17004
Leroy, A. (ed.) et al., Algebra and coding theory. Virtual conference in honor of Tariq Rizvi. Noncommutative rings and their applications VII, Université d’Artois, Lens, France, July 5–7, 2021. Virtual conference on quadratic forms, rings and codes, Université d’Artois, Lens, France, July 8, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 785, 35-45 (2023).
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Trace codimensions of algebras and their exponential growth. (English) Zbl 1525.16019
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Differential identities and varieties of almost polynomial growth. (English) Zbl 1527.16025
Reviewer: Plamen Koshlukov (Campinas)
Scale for codimension growth of Poisson PI-algebras. (English) Zbl 1541.16023
Reviewer: Plamen Koshlukov (Campinas)
Generalized derivations commuting on Lie ideals in prime rings. (English) Zbl 1527.16037
Reviewer: Vincenzo De Filippis (Messina)
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules. (English) Zbl 1512.17051
Product and commuting generalized derivations in prime rings. (English) Zbl 1528.16019
Reviewer: Giovanni Scudo (Messina)
An Engel condition with two generalized derivations on Lie ideals of prime rings. (English) Zbl 1536.16017
Reviewer: Mehsin Atteya (Leicester)
A result concerning \(b\)-generalized skew derivations on multilinear polynomials in prime rings. (English) Zbl 1523.16048
Reviewer: Puguh Wahyu Prasetyo (Yogyakarta)
\(\boldsymbol{b}\)-generalized skew derivations on multilinear polynomials. (English) Zbl 1524.16078
Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules. (English. Russian original) Zbl 07659861
J. Math. Sci., New York 269, No. 5, 632-696 (2023); translation from Fundam. Prikl. Mat. 24, No. 1, 31-123 (2022).
Reviewer: Ross P. Abraham (Brookings)
The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra. (English. Russian original) Zbl 1523.16025
J. Math. Sci., New York 269, No. 3, 322-330 (2023); translation from Fundam. Prikl. Mat. 23, No. 3, 83-94 (2020).
Reviewer: Plamen Koshlukov (Campinas)
A Jordan algebra of a Mal’tsev algebra. (English. Russian original) Zbl 1529.17042
J. Math. Sci., New York 269, No. 3, 298-316 (2023); translation from Fundam. Prikl. Mat. 23, No. 3, 49-74 (2020).
Reviewer: Mohd Arif Raza (Rabigh)
Graded rings with finiteness conditions. (English. Russian original) Zbl 1529.16040
J. Math. Sci., New York 269, No. 3, 282-289 (2023); translation from Fundam. Prikl. Mat. 23, No. 3, 23-35 (2020).
Reviewer: Constantin Năstăsescu (Bucureşti)
Symmetric polynomials in the free metabelian Poisson algebras. (English) Zbl 1520.17031
Reviewer: Vesselin Drensky (Sofia)
Differential polynomial identities of upper triangular matrices of size three. (English) Zbl 1523.16027
Reviewer: Plamen Koshlukov (Campinas)
Polynomial identities in Novikov algebras. (English) Zbl 1515.17006
Reviewer: Alexander B. Levin (Washington)
Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra. (English) Zbl 1517.16008
Reviewer: Constantin-Cosmin Todea (Cluj-Napoca)
\(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\). (English) Zbl 1517.16019
Reviewer: Plamen Koshlukov (Campinas)
\(\mathbb{Z}\)-graded identities of the Lie algebras \(U_1\) in characteristic 2. (English) Zbl 1512.16020
Reviewer: Allan Berele (Chicago)
Automorphisms and superalgebra structures on the Grassmann algebra. (English) Zbl 1528.16037
Reviewer: Vesselin Drensky (Sofia)
Codimension growth for polynomial identities of representations of Lie algebras. (English) Zbl 1537.16026
Reviewer: Vesselin Drensky (Sofia)
Prime rings with generalized derivations and power values on Lie ideals. (English) Zbl 1523.16023
Ashraf, Mohammad (ed.) et al., Algebra and related topics with applications, ICARTA-2019, Aligarh, India, December 17–19, 2019. Singapore: Springer. Springer Proc. Math. Stat. 392, 311-322 (2022).
On commutators involving derivations and automorphisms in prime rings. (English) Zbl 1535.16032
Ashraf, Mohammad (ed.) et al., Algebra and related topics with applications, ICARTA-2019, Aligarh, India, December 17–19, 2019. Singapore: Springer. Springer Proc. Math. Stat. 392, 263-268 (2022).
Reviewer: Wu Jing (Fayetteville)
On \(b\)-generalized derivations in prime rings. (English) Zbl 1523.16052
Ashraf, Mohammad (ed.) et al., Algebra and related topics with applications, ICARTA-2019, Aligarh, India, December 17–19, 2019. Singapore: Springer. Springer Proc. Math. Stat. 392, 181-189 (2022).
On hyperideals of Krasner hyperrings based on derived unitary rings. (English) Zbl 1524.16090
MSC:
16Y20
Minimal nonzero \(L\)-varieties of vector spaces over the field \(\mathbb{Z}_2\). (English. Russian original) Zbl 1529.16022
Algebra Logic 61, No. 4, 313-317 (2022); translation from Algebra Logika 61, No. 4, 461-468 (2022).
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
MSC:
16R10
Generalized derivations of order 2 on multilinear polynomials in prime rings. (English) Zbl 1511.16038
On derivations in group algebras and other algebraic structures. (Russian. English summary) Zbl 1513.16073
Generalized derivations acting on multilinear polynomials as Jordan homomorphisms. (English) Zbl 1517.16040
Ukr. Math. J. 74, No. 7, 1134-1148 (2022) and Ukr. Mat. Zh. 74, No. 7, 991-1003 (2022).
Reviewer: Nadeem ur Rehman (Aligarh)
Iterated Hopf Ore extensions in positive characteristic. (English) Zbl 1510.16028
Reviewer: Dmitry Artamonov (Moskva)
Maximal abelian ideals and automorphisms of nonfinitary nil-triangular algebras. (English) Zbl 1537.16035
On the structure of nets over quadratic fields. (Russian. English summary) Zbl 1524.16042
Vladikavkaz. Mat. Zh. 24, No. 3, 87-95 (2022); translation in Sib. Math. J. 64, No. 3, 725-730 (2023).
Topological Krasner hyperrings with special emphasis on isomorphism theorems. (English) Zbl 1507.16049
Projections of semilocal rings. (English. Russian original) Zbl 1519.16011
Algebra Logic 61, No. 2, 125-138 (2022); translation from Algebra Logika 61, No. 2, 180-200 (2022).
MSC:
16L30
A note on generalized derivations of order 2 and multilinear polynomials in prime rings. (English) Zbl 1516.16039
Reviewer: Vincenzo De Filippis (Messina)
Cayley theorems for Loday algebras. (English) Zbl 1512.20215
Reviewer: Anna Romanowska (Warszawa)
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