Results 31 to 40 of about 24,764 (67)

Complemented zero-divisor graphs associated with finite commutative semigroups

Communications in Algebra
Let S be a commutative semigroup with zero. The zero-divisor graph associated with S is the simple graph whose vertex set is given by the nonzero zero-divisors of S where two distinct vertices are adjacent if and only if their product is zero. A graph is
Chase Bender, Paul Cappaert, Rachelle DeCoste, Lisa Demeyer   +3 more
semanticscholar   +1 more source

Rota-Baxter co-operators on commutative Hopf algebras

Communications in Algebra
In this paper, we mainly research Rota-Baxter co-operators on commutative Hopf algebras. We get a new Hopf algebra and some Hopf co-braces via Rota-Baxter co-operators on commutative Hopf algebras.
Huihui Zheng, Chan Zhao, Linlin Liu
semanticscholar   +1 more source

Smoothness of commutative Hopf algebras

Communications in Algebra
Hopf algebras, most generally in a semisimple abelian symmetric monoidal category, are here supposed to be commutative but not to be of finite-type, and their (equivariant) smoothness are discussed.
Kensuke Egami, A. Masuoka, Kenta Suzuki
semanticscholar   +1 more source

Commutative Algebra

Contemporary Mathematics, 2021
Timothy J. Ford
semanticscholar   +1 more source

Free commutative two-step-associative algebras

Communications in Algebra
We construct linear bases for free commutative two-step-associative algebras and study their automorphisms. It turns out that every automorphism of a polynomial algebra without unit can be lifted to an automorphism of a free commutative two-step ...
N. Ismailov, I. Shestakov, Zerui Zhang
semanticscholar   +1 more source

Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems

Commutative Algebra, 2021
B. Harbourne
semanticscholar   +1 more source

COMMUTATIVE ALGEBRAS SATISFYING IDENTITY

JP Journal of Algebra Number Theory and Applications
It is known that commutative power-associative nilalgebras of nilindex 4 are not necessarily nilpotent. This was proved by Suttles' counterexample to a conjecture of Albert.
Joseph Bayara, Poussyan Patrice Ouedraogo   +1 more
semanticscholar   +1 more source

2-AB rings and 2-absorbing rings

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020
Hizem Sana, Smach Sihem
semanticscholar   +1 more source

Biderivations, commuting linear maps, post-Lie algebra structure on solvable Lie algebras of maximal rank

Communications in Algebra
In this paper, all biderivations of solvable Lie algebras of maximal rank g=Q⊕N are characterized. Namely, we consider a solvable Lie algebra of the form g=Q⊕N , where Q is the maximal torus subalgebra of g, N is the nilradical of g and dimQ=dimN/N2 .In ...
Hassan Oubba
semanticscholar   +1 more source

Derivations and biderivations of the non-square linear Lie algebra gl(m×n, 𝔽)

Communications in Algebra
Let m, n be integers with m>n . Denote Mm,n by the set of all m×n matrices over the field F of characteristic zero. Let I be an n×m matrix with (i,i) -position 1 for any 1≤i≤n , and 0 in other position.
Hongjin Liu, Zhengxin Chen
semanticscholar   +1 more source