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Verma modules over deformed generalized Heisenberg-Virasoro algebras

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......

Automorphisms of finitely generated relatively free bicommutative algebras

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......

On some combinatorial properties of generalized cluster algebras

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......

Generators of simple infinite-dimensional Lie superalgebras of vector fields

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......

On the sum of character degrees coprime to p and p-nilpotency of finite groups

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......

Reynolds algebras and their free objects from bracketed words and rooted trees

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. ......

The multiplicative group action on singular varieties and Chow varieties

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......

Supercharacter theories for Sylow p-subgroups of the Ree groups

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 ......

LD-stability for Goldie rings

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......

Singularity categories of Gorenstein monomial algebras

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......

Koszul modules (and the Omega-growth of modules) over short local algebras

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......

Jordan blocks of nilpotent elements in some irreducible representations of classical groups in good characteristic

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 ......

Recollements of derived categories I: Construction from exact contexts

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......

A characterization of algebras generated by idempotents

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......

Finite-dimensional Hopf algebras over the Hopf algebra H-d(:-1,1) of Kashina

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......

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