期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (7)
The following conjecture arose out of discussions between B. Harbourne, J. Roe, C. Cilberto and R. Miranda: for a smooth projective surface X there ex......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
For each k >= 2, let L-k(1) denote the monoid obtained by adjoining an identity element to the semigroup generated by two idempotents E and F subje......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
For the direct product Z x Z(3) of infinite cyclic group Z and a cyclic group Z(3) of order 3, the Schur rings over it are classified. In particular, ......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
This article is devoted to introducing the definition of systems of quotients of Jordan-Lie triple systems and surveying the vital properties which ca......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (9)
A finite group G is called a PST-group (respectively, PT-group, T-group) if every subnormal subgroup of G is Sylow permutable (respectively, permutabl......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
Let R be a Gorenstein ring. We first study Gorenstein orthogonal classes and Gorenstein cotorsion pairs of R-modules. Then, we introduce the concept o......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
We extend characterizations of inverses along an element to (b, c)-inverses. It is proved that if an element a in a semigroup S is both (b, c)-inverti......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (11)
A subgroup S of G is called a p-sylowizer of a p-subgroup R in G if S is maximal in G with respect to having R as its Sylow p-subgroup. In this paper,......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
Throughout this article, all groups are finite. Let F be a formation of groups. A subgroup A of a finite group G is said to be K-F-subnormal in G if t......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (9)
A subgroup H of a group G is said to be weakly M -supplemented in G if there exists a subgroup B of G provided that (1) G = HB, and (2) if H 1 / H G i......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (9)
We study the notion of Cartan-Eilenberg Gorenstein projective N-complexes. We show that an N-complex G is Cartan-Eilenberg Gorenstein projective if an......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
Let H-m,H-n be the mn(2)-dimensional Radford Hopf algebra over an algebraically closed field of characteristic zero. In this paper, we show that any f......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
We introduce and study a new class of generalized inverses in rings. An element a in a ring R has generalized Zhou inverse if there exists b is an ele......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (10)
For any Lie coalgebra with a Lie comodule, a cohomology is constructed by using a subcomplex of the Chevalley-Eilenberg cochain complex of the dual Li......
期刊： COMMUNICATIONS IN ALGEBRA, 2021; 49 (11)
Let G be a finite group. The order supergraph of G is the graph with vertex set G, and two distinct vertices x, y are adjacent if o(x)|o(y) or o(y)|o(......
