What type of study is this?

This is a Quantitative Study study.

September 30, 2025

Inferior Semigroups and Ideals

Key Points

Inferior semigroups are defined with distinct properties and relationships to ideals, signaling new findings in algebraic structure.
Characterizations of inferior semigroups and ideals establish their significance in the study of quasi-ideals and mappings.
The paper introduces characteristic inferior mappings, revealing their role in understanding inferior products and structural properties.
A regular semigroup can be specifically characterized through an inferior quasi-ideal, indicating a deeper interconnection within semigroups.

Abstract

Inferior semigroups, left (right) inferior ideals and inferior quasi-ideals in semi-groups are introduced, and several properties are investigated. Characterizations of inferior semigroups and ideals are considered, and relations between inferior semigroups, inferior ideals and inferior quasi-ideals are discussed. Characteristic inferior mappings and inferior products of inferior mappings are introduced. Using these notions, related properties on inferior semigroups, left (right) inferior ideals and inferior quasi-ideals are investigated. A regular semigroup is characterized by an inferior quasi-ideal.

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Cite This Study

A Mon, study studied this question.

synapsesocial.com/papers/68db4105b4a4d9ad2f982eea https://doi.org/https://doi.org/10.62072/acm.2025.080302

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