G. Sujatha; Ch. Santhi Sundar Raj; U. M. Swamy

Pseudo-Complemented Semigroups

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Author(s)

G. Sujatha ^1,* Ch. Santhi Sundar Raj ² U. M. Swamy ³

1. Department of Mathematics, Jawaharlal Nehru Technological University Kakinada, JNTUK, A.P., India

2. Department of Engineering Mathematics, Andhra University, Visakhapatnam-530003, A.P., India

3. Department of Mathematics, Andhra University, Visakhapatnam-530003, A.P., India

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2025.01.04

Received: 10 Nov. 2024 / Revised: 20 Dec. 2024 / Accepted: 11 Jan. 2025 / Published: 8 Apr. 2025

Index Terms

Semigroup, Pseudo-Complemented Semigroup, Baer-Stone Semigroup

Abstract

We shall introduce the notion of pseudo – complemented semigroup, which is a natural generalization of the notion of pseudo- complemented semi-lattices, and give certain properties of such semi-groups. We also introduced the notion of Baer- Stone semigroup, which is Pseudo complimented semigroup satisfy certain additional properties.

Cite This Paper

G. Sujatha, Ch. Santhi Sundar Raj, U. M. Swamy, "Pseudo-Complemented Semigroups", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.11, No.1, pp. 55-61, 2025. DOI: 10.5815/ijmsc.2025.01.04

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International Journal of Mathematical Sciences and Computing (IJMSC)