期刊： JOURNAL OF ALGEBRA, 2021; 568 ()
The restricted S-matrix of V-G is determined for any regular vertex operator algebra V and finite automorphism group G of V. As an application, the S-......
期刊： JOURNAL OF ALGEBRA, 2021; 584 ()
A pseudo-Riemannian Lie group (G, <., .>) is a connected and simply connected Lie group with a left-invariant pseudo-Riemannian metric of type (......
期刊： JOURNAL OF ALGEBRA, 2021; 580 ()
The quantum plane is the non-commutative polynomial algebra in variables x and y with xy = qyx. In this paper, we study the module variety of n-dimens......
期刊： JOURNAL OF ALGEBRA, 2021; 584 ()
Let G be a finite group, and T(G) be the sum of all complex irreducible character degrees of G. In this paper, we aim to characterize the structure of......
期刊： JOURNAL OF ALGEBRA, 2021; 579 ()
In this paper, we prove that the inductive blockwise Alperin weight condition holds for 2-blocks with abelian defect groups, which are not inertial an......
期刊： JOURNAL OF ALGEBRA, 2021; 584 ()
We study Gorenstein flat objects in the category Rep(Q, R) of representations of a left rooted quiver Q with values in Mod(R), the category of all lef......
期刊： JOURNAL OF ALGEBRA, 2021; 586 ()
Let A be the path algebra of a Dynkin quiver Q over a finite field, and P be the category of projective A-modules. Denote by C-1(P) the category of 1-......
期刊： JOURNAL OF ALGEBRA, 2021; 586 ()
Let A be a commutative augmented ring and I be its augmentation ideal. This paper shows that the sequence {I-n/In+1} becomes stationary up to isomorph......
期刊： JOURNAL OF ALGEBRA, 2021; 568 ()
Herschend-Liu-Nakaoka introduced the notion of n-exangulated categories. It is not only a higher dimensional analogue of extriangulated categories def......
期刊： JOURNAL OF ALGEBRA, 2021; 580 ()
Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. Gaku Kawashima introduced and studied a cert......
期刊： JOURNAL OF ALGEBRA, 2021; 584 ()
This paper investigates algebraic objects equipped with an operator, such as operated monoids, operated algebras etc. Various free object functors in ......
期刊： JOURNAL OF ALGEBRA, 2021; 586 ()
In this paper, we obtain analogues of Zsigmondy's theorem and the primitive divisor results for the Lucas and Lehmer sequences in polynomial rings of ......
期刊： JOURNAL OF ALGEBRA, 2021; 568 ()
Xiao and Zhu have shown that if C is a locally finite triangulated category, then the Auslander-Reiten triangles generate the relations for the Grothe......
期刊： JOURNAL OF ALGEBRA, 2021; 586 ()
The Rota-Baxter algebra and the shuffle product are both algebraic structures arising from integral operators and integral equations. Free commutative......
期刊： JOURNAL OF ALGEBRA, 2021; 587 ()
Let Gbe an irreducible imprimitive subgroup of GL(n)(F), where Fis a field. Any system of imprimitivity for Gcan be refined to a nonrefinablesystem of......
