期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (1)
The notion of symmetric Zinbiel superalgebras is introduced. We prove that the nilpotency index of a symmetric Zinbiel superalgebra is not greater tha......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (2)
In this paper, first we introduce the notion of a Reynolds operator on an n-Lie algebra and illustrate the relationship between Reynolds operators and......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (2)
We prove that the functor of zeroth A(1)-homology is universal as a functorial birational invariant of smooth proper varieties taking values in a cate......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (3)
In this paper we consider the monoid DPSn of all partial isometries of a star graph S-n with n vertices. Our main objectives are to determine the rank......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (5)
This study aims at giving some new results about the prime and radical subacts of any act over a semigroup S. The notion of prime radical is used to d......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (5)
An O-operator has been used to extend a Leibniz algebra by its representation. In this paper, we investigate several structures related to O-operators......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (6)
In the present paper we study the Jordan counterparts of Rickart and Baer *- algebras, i.e., inner RJ-algebras and inner BJ-algebras and prove that a ......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (7)
In this paper, we study the relationship between the two main categories of S-acts for a monoid S with zero from the viewpoint of existence of project......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (9)
Let N be a nontrivial nest on a complex separable Hilbert space H with dimH > 2, and AlgN be the associated nest algebra. Suppose that d : AlgN ? A......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (9)
We consider the standard modules of rectangular highest weights of affine Lie algebras in types A(2l-1)((2)) and D-l+1((2)) . By using vertex algebrai......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (10)
Let k be commutative artinian ring and (C, E, s) be an Ext-finite, Krull-Schmidt n-exangulated category. We define two additive subcategories Cr and C......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (11)
Groups with various types of operators, in particular the recently introduced Rota-Baxter groups, have generated renowned interest with close connecti......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (10)
In this paper, among other results, we give some sufficient conditions for every non-abelian subgroup of a group to be isoclinic with the group itself......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (11)
We study the language-theoretic properties of the word problem, in the sense of Duncan & Gilman, of weakly compressible monoids, as defined by Adi......
期刊： COMMUNICATIONS IN ALGEBRA, 2023; 51 (12)
A half-isomorphism f : G ? K between multiplicative systems G and K is a bijection from G onto K such that f(ab) ? {f(a)f(b),f(b)f(a)} for any a, b ? ......
