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.
Papers published on a yearly basis
Papers
More filters
TL;DR: The n-th member of the growth sequence of a globally idempotent finite semigroup without identity element is at least 2n as discussed by the authors, which was conjectured by Wiegold.
Abstract: The n–th member of the growth sequence of a globally idempotent finite semigroup without identity element is at least 2n. (This had been conjectured by J. Wiegold.)
6 citations
TL;DR: The Erdős-Burgess constant of a commutative semigroup with a binary associative operation + is defined as the smallest l... as discussed by the authors, where l is the smallest L √ n.
Abstract: Let 𝒮 be a commutative semigroup endowed with a binary associative operation +. An element e of 𝒮 is said to be idempotent if e + e = e. The Erdős–Burgess constant of 𝒮 is defined as the smallest l...
6 citations
TL;DR: In this paper, many characterizations of semi-tripotent rings are obtained. But these rings are called Boolean rings and strongly nil-clean rings, and strongly 2-nil-clean ring and semi-boolean rings.
Abstract: This paper is about rings . These rings are called semi-tripotent rings. Examples include Boolean rings, strongly nil-clean rings, strongly 2-nil-clean rings, and semi-boolean rings. Here, many characterizations of semi-tripotent rings are obtained. Necessary and sufficient conditions for a Morita context (respectively, for a group ring of an abelian group or a locally finite nilpotent group) to be semi-tripotent are proved.
6 citations
TL;DR: In this paper, it was shown that a finite dimensional algebra A over a field K is gendo-symmetric if and only if there is a bocs-structure on ( A, D ( A ), where D = H o m K ( −, K ) is the natural duality.
6 citations
01 Apr 1992
TL;DR: The mathematical structure of binary nonlinear filtering is expressed in the context of binary cellular logic and the relevance of existing image algebras is discussed and operator properties such as antiextensively and idempotence are examined.
Abstract: The mathematical structure of binary nonlinear filtering is expressed in the context of binary cellular logic and the relevance of existing image algebras is discussed. Operator properties such as antiextensively and idempotence are examined from a discrete logical perspective, as are the classical Matheron representations. The simplicity of the operational properties is exposed by such an approach, as is the use of commonplace logic design methods for the composition and decomposition of nonlinear filters, in particular, binary morphological filters.
6 citations