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Normal category of principal left ideals of bands.

Authors :
Preenu, C. S.
Rajan, A. R.
Source :
Discrete Mathematics, Algorithms & Applications. May2024, Vol. 16 Issue 4, p1-13. 13p.
Publication Year :
2024

Abstract

The principal left ideals of a regular semigroup have been abstractly described by Nambooripad as normal categories. A semigroup S is said to be a band if a 2 = a for all a ∈ S. Since bands are regular semigroups, the category of principal left ideals is a normal category. This paper characterizes the normal categories which arise as categories of principal left ideals of bands. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17938309
Volume :
16
Issue :
4
Database :
Academic Search Index
Journal :
Discrete Mathematics, Algorithms & Applications
Publication Type :
Academic Journal
Accession number :
176610538
Full Text :
https://doi.org/10.1142/S1793830923500374