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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Fully pseudo-stable gamma acts

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pp. 1145–1151Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2294XML
Received:
01 May 2025
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2294
Pages:
1145–1151

Abstract

In this work, we introduce the concept of fully pseudo-stable gamma acts as a generalization of fully stable gamma acts. We investigate various properties and characterizations of this class. In particular, we show that an MГ – act A is fully pseudo-stable if and only if every cyclic MГ – subact of A satisfies Baer’s MГ – criterion. Finally, we propose a further generalization, called essentially fully pseudo-stable, which is a very widely occurring property in any MГ – act. 

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

References

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[8] M. S. Abbas, S. A. Al-Saadi, and A. Faris, “Gamma semigroup whose gamma acts are quasi-injective,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 5, pp. 1561–1566 (2024), doi: 10.47974/JDMSC-1938.

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