Flows on regular semigroups

N. D. Gilbert

doi:10.1023/A:1023502914647

Flows on regular semigroups

N. D. Gilbert

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

4 Citations (Scopus)

Abstract

We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid - a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup.

Original language	English
Pages (from-to)	147-155
Number of pages	9
Journal	Applied Categorical Structures
Volume	11
Issue number	2
DOIs	https://doi.org/10.1023/A:1023502914647
Publication status	Published - Apr 2003

Keywords

Flow
Groupoid
Regular
Semigroup

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abstract = "We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid - a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup.",

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N2 - We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid - a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup.

AB - We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid - a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup.

KW - Flow

KW - Groupoid

KW - Regular

KW - Semigroup

UR - https://www.scopus.com/pages/publications/0038527074

U2 - 10.1023/A:1023502914647

DO - 10.1023/A:1023502914647

M3 - Article

SN - 1572-9095

VL - 11

SP - 147

EP - 155

JO - Applied Categorical Structures

JF - Applied Categorical Structures

IS - 2

ER -

Flows on regular semigroups

Abstract

Keywords

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