Inverse Semigroup with Source of Semiprimeness

Barış Albayrak

doi:https://doi.org/10.14445/22315373/IJMTT-V70I6P102

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 6 | Year 2024 | Article Id. IJMTT-V70I6P102 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I6P102

Inverse Semigroup with Source of Semiprimeness

Barış Albayrak

Received	Revised	Accepted	Published
08 Apr 2024	22 May 2024	10 Jun 2024	29 Jun 2024

Citation :

Barış Albayrak, "Inverse Semigroup with Source of Semiprimeness," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 6, pp. 13-19, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I6P102

Abstract

In this study, by using the set of the source of semiprimeness, we give the definitions of |𝑆𝑆 | − inverse semigroup and |𝑆𝑆 | − inverse monoid which are generalizations of semigroup and monoid concepts. Then, we investigate these structures and determine their basic properties. Then, we define |𝑆𝑆 | − group using these definitions. Using the definitions given, we examine the relationships between the new structures.

Keywords

Semigroup, Unit element, Inverse element, Semiprime semigroup, Source of semiprimeness.

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