The Ranks of Ideals in Various Transformation Monoids

Ping Zhao; Vítor H. Fernandes

doi:10.1080/00927872.2013.847946

The Ranks of Ideals in Various Transformation Monoids

Ping Zhao, Vítor H. Fernandes

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper we consider various classes of monoids of transformations of a finite chain, including those of transformations that preserve or reverse either the order or the orientation. In line with Howie and McFadden [24], we complete the study of the ranks (and of idempotent ranks, when applicable) of all their ideals.

Original language	English
Pages (from-to)	674-692
Number of pages	19
Journal	Communications in Algebra
Volume	43
Issue number	2
DOIs	https://doi.org/10.1080/00927872.2013.847946
Publication status	Published - 1 Feb 2015

Keywords

Idempotent rank
Order-preserving
Orientation-preserving
Rank
Transformation

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The Ranks of Ideals in Various Transformation Monoids

Abstract

Keywords

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