Published 2015-07-20
Keywords
- Distributive Implication Groupoid(DIG),
- DIG-semigroup,
- homomorphism.,
- Deductive System(DS)
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
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How to Cite
DIG-Semigroups. (2015). Scientia Series A: Mathematical Sciences, 26, 101-114. https://revistas.usm.cl/scientia/article/view/231
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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