Topic
Idempotence
About: Idempotence is a research topic. Over the lifetime, 1860 publications have been published within this topic receiving 19976 citations. The topic is also known as: idempotent.
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TL;DR: The purpose of this paper is to compute the Mobius function on the cross-section lattice Λ by analyzing an associated boolean family of face lattices of polytopes and then solving a resulting system of linear equations.
6 citations
TL;DR: In this paper, it was shown that each finite idempotent semigroup satisfying the identity $xyxzx\approx xyzx$ is finitely related, i.e., a semigroup whose term operations are determined by a finite set of finitary relations.
Abstract: An algebra $\AA$ is said to be finitely related if the clone $\clo(\AA)$ of its term operations is determined by a
finite set of finitary relations. We prove that each finite idempotent semigroup satisfying the identity $xyxzx\approx xyzx$ is finitely related.
DOI: 10.1017/S0004972712000263
6 citations
TL;DR: In this article, the authors considered the problem of generating a skew lattice in R that splits, having order dividing 16, given idempotents e and f in a ring R, if ef and fe are also idempotsent.
Abstract: Given idempotents e and f in a ring R, if ef and fe are also idempotent, then e and f generate a skew lattice in R that splits, having order dividing 16. The skew Boolean algebra generated from e and f is also considered.
6 citations
01 Jan 1973
TL;DR: In this article, it was shown that the Yosida-hewiit decomposition can be viewed as a functional analytic ergodic theorem for the scalar case and Banach space-valued case.
Abstract: Publisher Summary This chapter discusses the Yosida–Hewiit decomposition as an ergodic theorem Using a variation of the Caratheodory method, it can be shown that the scalar case and Banach space-valued case considered by Uhl can be viewed as a functional analytic ergodic theorem The chapter presents some conditions that exist in a case when (Y, ∥ ∥) is a Banach space, T is a commutative semigroup of idempotent linear operators on Y, and for every element y in Y, the set 0(y) = weak closure of {t(y) : t ∈ T}
6 citations
Journal Article•
6 citations