期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (08)
Recently, a new type of generalized inverse called the n-strong Drazin inverse was introduced by Mosic in the setting of rings. Namely, let R be a rin......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (09)
We investigate purity and approximation with respect to a class of morphisms of modules. Let be a class of left R-module morphisms. An epimorphism phi......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (09)
Let FP infinity R be the class of all left R-modules M which has a projective resolution by finitely generated projectives. An exact sequence 0 -> ......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (05)
Crawley-Boevey introduced in [Poisson structure on moduli spaces of representations, J. Algebra 325 (2011) 205-215.], the notion of H-0-Poisson struct......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (3)
Let G be a finite group. The power graph of G is the undirected graph whose vertex set is G, and two distinct vertices are adjacent if one is a power ......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (06)
k is a positive integer and p is an odd prime. Let nu(G) be the number of conjugacy classes of nonnormal subgroups of a finite group G and N-CN(p, k) ......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (07)
Denote by nu(p)(G) the number of Sylow p-subgroups of G. For every subgroup H of G, it is easy to see that nu(p)(H) <= nu(p)(G), but nu(p)(H) does ......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (07)
In this paper, we introduce a class of 2-cocycles on monoidal Hom-Hopf algebras, study their properties, and extend neat lazy 2-cocycles to a Radford ......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (08)
For a Lie comodule M of a Lie coalgebra C and the Lie algebra g(C, M) (respectively, the group G(C, M)) of diagonal coderivations (respectively, Lie c......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (04)
Let G be a finite group, sigma = {sigma(i)vertical bar i is an element of I} be a partition of the set of all primes P and sigma(G) = {sigma i vertica......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (08)
In the present paper, we prove that any finite nontrivial irreducible module over a rank two Lie conformal algebra Script capital H is of rank one. We......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (09)
Let k be an algebraically closed field, n >= 1 an integer, tau a k-linear Hom-finite (n + 2)-angulated category with n-suspension functor Sigma(n),......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (09)
A subgroup A of a finite group G is called a CAP-subgroup if A covers or avoids every chief factor of G. Let L be a normal subgroup of a finite group ......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (05)
In this paper, we introduce a generalized inverse of a matrix, namely, the generalized WG inverse, which a generalization of the WG inverse. Several n......
期刊: JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021; 20 (06)
The main purpose of this paper is to introduce and study quasi-order Gamma-semihypergroups that is a generalization of quasi-order semihypergroups. Al......