2019
DOI: 10.12988/ija.2019.9726
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BA-algebra

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“…This field deals with study of the algebraic structures such as groups and rings and studied the relationships among them. Many algebraic structures have been studied by many authors in order to present some new notations such as BA-algebra which has been introduced by Nouri [2]. Further, the same author presented the notation of a BS-algebra [3].…”
Section: Introductionmentioning
confidence: 99%
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“…This field deals with study of the algebraic structures such as groups and rings and studied the relationships among them. Many algebraic structures have been studied by many authors in order to present some new notations such as BA-algebra which has been introduced by Nouri [2]. Further, the same author presented the notation of a BS-algebra [3].…”
Section: Introductionmentioning
confidence: 99%
“…Definition 2.1 [1] A system (๐’ฎ,โŠ ) is called semigroup, if โŠ  is an associative binary operation. Definition 2.2 [2] The mathematical system (๐’ฎ, โŠž, 0) is said to be BA-algebra, if it satisfying the following axioms. i.๐“Š โŠž 0 = ๐“Š for all ๐“Š โˆˆ ๐’ฎ, ii.๐“Š โŠž ๐“Š = 0 for all ๐“Š โˆˆ ๐’ฎ, iii.๐“Š โŠž (๐“‹ โŠž ๐“‰) = ๐“‰ โŠž (๐“Š โŠž ๐“‹) for all ๐“Š, ๐“‹, ๐“‰ โˆˆ ๐’ฎ.…”
Section: Introductionmentioning
confidence: 99%
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