In this paper, we introduce the notion of zeroid, regular and idempotent elements in Γ-semiring. We study the properties of zeroid, regular and idempotent elements in Γ-semiring and we prove that,if M is a totally ordered regular Γ-semiring with unity element, in which Γ-s...
Idempotent ElementIn the paper, complete semigroup binary relation is defined by semilattices of the class . We give a full description of idempotent elements of given semigroup. For the case where is a finite set and , we derive formulas by calculating the numbers of idempotent elements of ...
Adj.1.idempotent- unchanged in value following multiplication by itself; "this matrix is idempotent" math,mathematics,maths- a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement unchanged- not made or become different; "the causes that produced the...
An operation f on a set D is idempotent if and only if it preserves all the relations in the ΓCON = {{〈a〉}| a∈ D}, consisting of all unary one-element relations on D. Hence, Inv(Termid(A)) is the relational clone generated by Inv(F) ∪ ΓCON. That is, con...
3)primitive idempotent element本原幂等元素 4)idempotent[英][ai'demp?t?nt][美][a?'d?mp?t?nt]幂等元 1.Speciality of idempotent element on finite semigroups;有限半群周期元和幂等元的特征 2.The properties of idempotents that have not zero column in Sn;S_n中不含零列的幂等元的性质 3.A ...
adjective mathematics Said of an element of an algebraic structure (such as a group or semigroup) with a binary operation: that when the element operates on itself, the result is equal to itself. adjective mathematics Said of a binary operation: that all of the distinct elements it can opera...
Finally we show that if R is a commutative ring of nonzero characteristic without nontrivial idempotents and G is polycyclic-by-finite such that no element different from 1 in G has order invertible in R, then RG has no nontrivial idempotents. This is proved at characteristic zero in [ ...
Discover the latest articles and news from researchers in related subjects, suggested using machine learning. Algebraic Logic Associative Rings and Algebras Commutative Rings and Algebras Discrete Mathematics Element cycles Set Theory References Ya. I. Diasamidze, “Complete semigroups of binary...
For example, a12 is not Lie element, but X = −a12a2 + 2a1a2a1 − a2a1a1 is a Lie element with X = −[a1, [a1, a2]]. A.A. Klyachko in [5] has constructed the following idempotent in the group alge- bra of the permutation group: kn = 1 n qmaj(σ )σ. σ∈Sn...
13. If the API of a dependent service is idempotent, that means it is safe to retry failed requests. 如果所依赖服务的API是幂等的,那就意味着可以安全地对失败请求进行重试。 youdao 14. Each subgroup contains exactly one idempotent, namely the identity element of the subgroup. 每个子群精确的包含...