A class of U-ample I-semigroups

Dublin Core

Title

A class of U-ample I-semigroups

Creator

RU Ndubuisi, KP Shum, RB Abubakar, MA Mbah

Description

In this paper, we study U-ample I-semigroups and obtain its structure theorem. It is proved that a semigroup is a U-ample I-semigroup if and only if it can be expressed by W GBR (M, θ), namely, the weakly generalized Bruck-Reilly extension of a monoid. This result not only extends and amplifies the structure theorem of I-bisimple semigroups given by RJ Warne, but also generalizes the structure theorem of*-bisimple type AI-semigroups given by Y. Shang and L. Wang in 2012.

Date

2021

Source

https://scholar.google.com/citations?view_op=view_citation&hl=en&user=AhSMvB8AAAAJ&cstart=20&pagesize=80&citation_for_view=AhSMvB8AAAAJ:hFOr9nPyWt4C

Language

English