Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Sofia, 14476, Bulgaria
Jörg Koppitz, Ananya Anantayasethi
In this paper: A Q-algebra (ξ; *, 0) is a generalization of the concepts of BCK, BCI-algebras, introduced by Neggers et al. [1]. As for BCK, BCI-algebras, the concept ideal is defined for Q-algebras [1]. In this pap...
Jörg Koppitz, Somnuek Worawiset
In this paper: Let Cn be the semigroup of all order-preserving and order-decreasing transformations on an n-element chain. Let ζ be an idempotent in Cn. The set Cn(ζ) of all α ∈ Cn such that the image of ζ is the se...
Ananya Anantayasethi, Jörg Koppitz
In this paper: In this work, we study the G-part of Q-algebras A, i.e. the set G(A) = {w ∈ A | 0w = w}. We show that G(A) is an abelian group, whenever G(A) is an ideal and characterize all Q-algebras A such that G(...
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