Results 71 to 80 of about 234,678 (87)

Biderivations of a Lie algebra of Block type and applications

Communications in Algebra, 2023
Let be a Lie algebra of Block type with basis and relations . In the present paper, the biderivations of are explicitly described. In particular, it is shown that any biderivation of is inner.
Jing Tang, Xiaomin Tang
semanticscholar   +1 more source

Prime ideal sum graph of a commutative ring

Journal of Algebra and its Applications, 2022
Let [Formula: see text] be a commutative ring with identity. The prime ideal sum graph of [Formula: see text], denoted by [Formula: see text], is a graph whose vertices are nonzero proper ideals of [Formula: see text] and two distinct vertices [Formula ...
M. Saha, Angsuman Das, E. Y. Çeli̇kel, C. Abdioğlu   +3 more
semanticscholar   +1 more source

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

Genus two nilpotent graphs of finite commutative rings

Journal of Algebra and its Applications, 2022
Let [Formula: see text] be a finite commutative ring and [Formula: see text] is nilpotent for some [Formula: see text]. The nilpotent graph [Formula: see text] of [Formula: see text] is the simple undirected graph with vertex set [Formula: see text] in ...
G. Kalaimurugan, P. Vignesh, T. Tamizh Chelvam   +2 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

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, Ivan Shestakov, Zerui Zhang
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

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

Commutative Algebra

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

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

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