Idealization of a Semigroup by Using Bruck-Reilly Monoids

Authors

DOI:

https://doi.org/10.37256/cm.5220242898

Keywords:

idealization, semigroup, Bruck-Reilly extension, idempotent

Abstract

The aim of this paper is to create a new semigroup by defining a special idealization operation on semigroups. Additionally, by considering amalgamation, we will present novel distinguishing results on idealization over semigroups. Initially, we will combine the definitions of idealization and the Bruck-Reilly extension. Consequently, by integrating these two structures, we will provide a significant result on idealization in semigroups that will be crucial for future studies. Finally, we will conclude by discussing the ideal extension for the new semigroup structure, namely idealization.

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Published

2024-04-09

How to Cite

1.
Wazzan S, Ramalingam Udhayakumar. Idealization of a Semigroup by Using Bruck-Reilly Monoids. Contemp. Math. [Internet]. 2024 Apr. 9 [cited 2024 May 31];5(2):1284-93. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2898