期刊： JOURNAL OF ALGEBRA, 2023; 614 ()
A 4-algebra is a commutative algebra A over a field k such that (a(2))(2) = 0, for all a is an element of A. We have proved recently [22] that 4-algeb......
期刊： JOURNAL OF ALGEBRA, 2023; 614 ()
We show that the splendid Rickard complexes for blocks with Klein four defect groups constructed by Rickard and Linckelmann descend to non splitting c......
期刊： JOURNAL OF ALGEBRA, 2023; 616 ()
Many properties of a module can be expressed in terms of the dimension of the vector space obtained by applying a finitely presented functor to that m......
期刊： JOURNAL OF ALGEBRA, 2023; 616 ()
Let cp and 0 be quadratic forms over a field K of characteristic different from 2. In this paper, we give a criterion for isotropy of cp over the func......
期刊： JOURNAL OF ALGEBRA, 2023; 617 ()
We compare lower defect groups associated with Irregular classes and vertices of simple modules for a block of a finite group algebra. We show that th......
期刊： JOURNAL OF ALGEBRA, 2023; 619 ()
The z -divided powers (depending on a parity) form the zcanonical basis for the split rank 1 zquantum group and they are a basic ingredient for zquant......
期刊： JOURNAL OF ALGEBRA, 2023; 620 ()
In this paper, we compute the essential p-dimension of the split finite quasi-simple groups of classical Lie type at the defining prime, specifically ......
期刊： JOURNAL OF ALGEBRA, 2023; 623 ()
Auslander-Reiten conjecture, which says that an Artin algebra does not have any non-projective generator with vanishing self-extensions in all positiv......
期刊： JOURNAL OF ALGEBRA, 2023; 623 ()
One of the primary objectives of this paper is to establish compatibility between two different jet space functors in the most general context. We fir......
期刊： JOURNAL OF ALGEBRA, 2023; 624 ()
Euler-symmetric projective varieties, introduced by Baohua Fu and Jun-Muk Hwang in 2020, are nondegenerate projective varieties admitting many Cx-acti......
期刊： JOURNAL OF ALGEBRA, 2023; 629 ()
Given a free product of groups G = *j is an element of JAj and a natural number n, what is the minimal possible commutator length of an element gn is ......
期刊： JOURNAL OF ALGEBRA, 2023; 631 ()
In this paper, we study the geometry of points in complex projective space that satisfy the Cayley-Bacharach condition with respect to the complete li......
期刊： JOURNAL OF ALGEBRA, 2023; 632 ()
We prove that every quasi-complete intersection (q.c.i.) ideal is obtained from a pair of nested complete intersection ideals by way of a flat base ch......
期刊： JOURNAL OF ALGEBRA, 2023; 632 ()
We prove that level binomial edge ideals with regularity 2 and pseudo-Gorenstein binomial edge ideals with regularity 3 are cones, and we describe the......
期刊： JOURNAL OF ALGEBRA, 2023; 632 ()
In this paper, we focus on the dimension of dual modules of local cohomology of Stanley-Reisner rings to obtain a new vector. This vector contains imp......
