Geodesic
Right and Left Mappings in Equality Algebras
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 815 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The notion of (right) left mapping on equality algebras is introduced, and related properties are investigated. In order for the kernel of (right) left mapping to be filter, we investigate what conditions are required. Relations between left mapping and $\rightarrow$-endomorphism are investigated. Using left mapping and $\rightarrow$-endomorphism, a characterization of positive implicative equality algebra is established. By using the notion of left mapping, we define $\rightarrow$-endomorphism and prove that the set of all $\rightarrow$-endomorphisms on equality algebra is a commutative semigroup with zero element. Also, we show that the set of all right mappings on positive implicative equality algebra makes a dual BCK-algebra.
Classification : 03G25 06B10, 06B99
Keywords: Equality algebra, $\&$-equality algebra, positive implicative equality algebra, filter, left mapping, right mapping 
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     author = {Mona Aaly Kologani and Mohammad Mohseni Takallo and Rajab Ali Borzooei and Young Bae Jun},
     title = {Right and {Left} {Mappings} in {Equality} {Algebras}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {815 },
     year = {2022},
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     number = {5},
     language = {en},
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}
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Mona Aaly Kologani; Mohammad Mohseni Takallo; Rajab Ali Borzooei; Young Bae Jun. Right and Left Mappings in Equality Algebras. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 815 . http://geodesic.mathdoc.fr/item/KJM_2022_46_5_a11/