期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (11)
Let g(G, lambda) denote the deformed generalized Heisenberg-Virasoro algebra related to a complex parameter lambda not equal -1 and an additive subgro......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (8)
Automorphisms of free bicommutative algebras over an arbitrary field are studied. Wild automorphisms are constructed in two-generated and three-genera......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (8)
In this paper, we prove some combinatorial results on generalized cluster algebras. To be more precise, we prove that (i) the seeds of a generalized c......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (12)
In this paper we prove that simple infinite-dimensional Lie superalgebras of vector fields can be generated by 1 element over the field C of complex n......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (9)
The well-known Thompson theorem on character degrees states that if a prime pdivides the degree of every nonlinear irreducible character of a finite g......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (12)
The study of Reynolds algebras has its origin in the well-known work of O. Reynolds on fluid dynamics in 1895 and has since found broad applications. ......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (10)
We answer two questions of Carrell on a singular complex projective variety admitting the multiplicative group action, one positively and the other ne......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (10)
We determine a supercharacter theory for Sylow p-subgroups (2)G(2)(syl) (3(2m+1)) of the Ree groups (2)G(2)(3(2m+1)), calculate the conjugacy classes ......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (11)
The lower transcendence degree, introduced by J. J Zhang, is an important non-commutative invariant in ring theory and non-commutative geometry strong......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (8)
In this paper, we consider the singularity category D-sg(mod A) and the Z-graded singularity category D-sg(mod(Z) A) for a Gorenstein monomial algebra......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (12)
Following the well-established terminology in commutative algebra, any (not necessarily commutative) finite-dimensional local algebra A with radical J......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (8)
Let Gbe a classical group with natural module Vand Lie algebra gover an algebraically closed field K of good characteristic. For rational irreducible ......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (8)
A new method is established to construct recollements of derived categories of rings from exact contexts and noncommutative tensor products. This meth......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (9)
We study algebras generated by idempotents. For finite dimensional algebras over a field, it turns out that these algebras can be characterized by the......
期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2021; 225 (4)
Let H be the 16-dimensional non-trivial semisimple Hopf algebra H-d(:-1,1) in the classification work of Kashina [28]. Actually, H congruent to H-8 ci......