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Uni-soft ideals and uni-soft k-ideals of Γ-semirings

Debabrata MandaliD

  1. Department of Mathematics, Raja Peary Mohan College, Uttarpara, Hooghly – 712258, India.
Published 31 Aug 2026Asia Mathematika, volume 10, issue 2, pages 57–66 (2026)doi:10.5281/zenodo.23086952
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Abstract

In this paper, we have studied the ideal theory of Γ-semirings using the concept of uni-soft sets. Beside some of its basis properties, we obtain some characterizations of k-regular and k-intra-regular Γ-semirings by means of uni-soft k-ideals (k-bi-ideals, k-quasi-ideals).

Γ-semiringSoft setUni-soft k-ideals (k-bi-ideals, k-quasi-ideals)k-regulark-intra-regular

1. Introduction

In this paper, we have investigated the ideal theory of Γ-semirings [23] based on uni-soft sets and obtain some related properties. Some basic operations are also investigated. Finally, we describe some characterizations of regular and intra-regular Γ-semirings by means of uni-soft k-ideals (k-bi-ideals, k-quasi-ideals).

This page shows an excerpt of the introduction. The full text, including the theorems, proofs and examples, is available in the PDF.

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Cite this article

Mandal, D. (2026). Uni-soft ideals and uni-soft k-ideals of Γ-semirings. Asia Mathematika, 10(2), 57–66. https://doi.org/10.5281/zenodo.23086952

Publication history

Received13 Jul 2026
Accepted01 Aug 2026
Published31 Aug 2026