DIG-Semigroups

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
Distributive Implication Groupoid(DIG), DIG-semigroup, homomorphism., Deductive System(DS)

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Ravi Kumar Bandaru
Department of Engineering Mathematics, GITAM University, Hyderabad Campus, India-502329.
Arsham Borumand Saeid
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

Abstract

In this paper, we introduce a new class of algebras that related to distributive implication groupoids(DIG) and semigroups, call it a DIG-semigroup. We also define the concept of left(resp. right) deductive systems(LDS (resp. RDS) for short) of a DIG-semigroup and of unit divisors in DIG-semigroups. The notion of DIG-homomorphisms between DIG semigroups is introduced and investigate some of their properties and the quotient of DIG-semigroup via deductive systems is constructed. 

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Vol. 26 (2015)

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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Ravi Kumar Bandaru, & Arsham Borumand Saeid. (2025). DIG-Semigroups. Scientia Series A: Mathematical Sciences, 26, 101-114. https://doi.org/10.71712/