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

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.

References

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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