期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
Let F be the underlying base field of characteristic p>3 and denote by Gamma(0) over bar the even part of the finite-dimensional Lie superalgebra G......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
In this article, we compute cohomology groups of the semisimple Lie conformal algebra S = Vir (sic) Cur g with coefficients in its irreducible modules......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (02)
Let W(Gamma) be a class of not-finitely graded Lie algebras related to generalized Virasoro algebras with basis {L alpha,i,C vertical bar alpha is an ......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (02)
A Cayley graph Gamma = Cay(G,S) is said to be normal if G is normal in Aut Gamma. In this paper, we investigate the normality problem of the connected......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
This article concerns a ring property called pseudo-reduced-over-center that is satisfied by free algebras over commutative reduced rings. The propert......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (02)
Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed field of characteristic zero. In this paper we show that a......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (02)
Let G be a classical group over an arbitrary field F, acting on an n-dimensional F-space V=V(n,F). All those maximal subgroups of G are classified eac......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
Let n, k and l be integers with 1 <= k<= n-1. The set-inclusion graph G(n,k,l) is the graph whose vertex set consists of all k- and l-subsets of......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
Let Delta((phi,psi)) = (A N-A(B) M-B(A) B) be a Morita ring which is an Artin algebra. In this paper we investigate the relations between the Gorenste......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (02)
We provide some exact formulas for the projective dimension and regularity of edge ideals associated to some vertex-weighted oriented cyclic graphs wi......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
Let R be a commutative ring and Gamma(R) be its zero-divisor graph. We completely determine the structure of all finite commutative rings whose zero-d......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
The concept of an HX-group is an upgrade of the concept of a group, in which a new operation is defined on the family of non-empty subsets of a group.......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (02)
A graph Gamma is said to be symmetric if its automorphism group Aut(Gamma) acts transitively on the arc set of Gamma. We show that if Gamma is a finit......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (03)
Let l and n be positive integers such that l >= n, and let G(n,l) be the Grassmannian which consists of the set of n-dimensional subspaces of C-l. ......
期刊： ALGEBRA COLLOQUIUM, 2021; 28 (02)
Let F be a field, and let e,k be integers such that 1 <= e <= vertical bar F\{0}vertical bar and k >= 0. We show that for any subset {a(1), .......
