Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Rank properties in finite inverse semigroups
View through CrossRef
AbstractTwo possible concepts of rank in inverse semigroup theory, the intermediateI-rank and the upperI-rank, are investigated for the finite aperiodic Brandt semigroup. The so-called largeI-rank is found for an arbitrary finite Brandt semigroup, and the result is used to obtain the large rank of the inverse semigroup of all proper subpermutations of a finite set.
Cambridge University Press (CUP)
Title: Rank properties in finite inverse semigroups
Description:
AbstractTwo possible concepts of rank in inverse semigroup theory, the intermediateI-rank and the upperI-rank, are investigated for the finite aperiodic Brandt semigroup.
The so-called largeI-rank is found for an arbitrary finite Brandt semigroup, and the result is used to obtain the large rank of the inverse semigroup of all proper subpermutations of a finite set.
Related Results
Nilpotency and strong nilpotency for finite semigroups
Nilpotency and strong nilpotency for finite semigroups
AbstractNilpotent semigroups in the sense of Mal’cev are defined by semigroup identities. Finite nilpotent semigroups constitute a pseudovariety, MN, which has finite rank. The sem...
Positive Desch-Schappacher perturbations of bi-continuous semigroups on AM-spaces
Positive Desch-Schappacher perturbations of bi-continuous semigroups on AM-spaces
We consider positive Desch–Schappacher perturbations of bi-continuous semigroups on AM-spaces with an additional property concerning the additional locally convex topology. As an e...
BQ-elements of some semigroups
BQ-elements of some semigroups
A -element of a semigroup is an element such that the bi-ideal and the quasi-ideal of generated by coincide, i.e., . -elements are a generalization of regular elements in...
Robust treatment planning for small animal radio‐neuromodulation using focused kV x‐ray beams
Robust treatment planning for small animal radio‐neuromodulation using focused kV x‐ray beams
AbstractBackgroundIn preclinical radio‐neuromodulation research, small animal experiments are pivotal for unraveling radiobiological mechanism, investigating prescription and plann...
The determinant of semigroups of the pseudovariety ECOM
The determinant of semigroups of the pseudovariety ECOM
The purpose of this paper is to compute the nonzero semigroup determinant of the class of finite semigroups in which every two idempotents commute. This class strictly contains the...
ZL-Completions for ZL-Semigroups
ZL-Completions for ZL-Semigroups
In this paper, we generalize a common completion pattern of ordered semigroups to the fuzzy setting. Based on a standard L-completion ZL, we introduce the notion of a ZL-semigroup ...
Fuzzy Bipolar Soft Quasi-ideals in Ordered Semigroups
Fuzzy Bipolar Soft Quasi-ideals in Ordered Semigroups
In this paper, we introduce the concept of fuzzy bipolar soft quasi-ideals in ordered semigroup theory. First some characteristics of the structure are examined and hence a few use...
Fibonacci Type Semigroups
Fibonacci Type Semigroups
We study “Fibonacci type” groups and semigroups. By establishing asphericity of their presentations we show that many of the groups are infinite. We combine this with Adjan graph t...