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On homomorphisms of \(AB\)-algebras - MaRDI portal

On homomorphisms of \(AB\)-algebras (Q2212231)

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On homomorphisms of \(AB\)-algebras
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    On homomorphisms of \(AB\)-algebras (English)
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    19 November 2020
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    An \(AB\)-algebra, defined as an algebra \((X,\cdot,0)\) satisfying the identities \((xy\cdot zy)\cdot xz=0\), \(0x=0\) and \(x0=x\), is a generalization of BCK/BCI-algebras. Elementary facts on homomorphisms of such algebras are proved.
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    \(AB\)-algebra
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    \(AB\)-subalgebra
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    \(AB\)-ideal
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    \(AB\)-homomorphism
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    isomorphism theorems
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