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Extensions of L-fuzzy Ideals in Semirings
J. Neggers ...et al KYUNGPOOK UNIVERSITY 1998 Kyungpook mathematical journal Vol.38 No.1
We characterize L-fuzzy ideals in semirings and extensions of such ideals with the sup-property.
Self-distributive Modular Pogroupoids and Posets
J. Neggers ...et al KYUNGPOOK UNIVERSITY 1998 Kyungpook mathematical journal Vol.38 No.2
In this paper we showthat the modular pogroupoi (semigroup) S(·) is a self-distributive iff its associated poset S(≤) is (?⊕?)-free.
Incomparability and Transitivity
J. NEGGERS,YOUNG HEE KIM,HEE SIK KIM 경북대학교 자연과학대학 수학과 2002 Kyungpook mathematical journal Vol.42 No.1
In this paper we discuss a dimension (parallel dimension) of pogroupoids associated with posets and relate it to their pogroupoid algebras. This dimension is also an invariant of the incomparability graph (Harris diagram) of the poset under graph isomorphism (incomparability preserving bijection or bijective Harris mappings on the poset). This bijective mappings include but are not restructed to order-isomorphisms and provide other insights into the structure of the poset from the diagram point of view.
Order related concepts for arbitrary groupoids
김희식,Joseph Neggers,소금숙 대한수학회 2017 대한수학회보 Vol.54 No.4
In this paper, we introduce and explore suggested notions of `above', `below' and `between' in general groupoids, $Bin(X)$, as well as in more detail in several well-known classes of groupoids, including groups, semigroups, selective groupoids (digraphs), $d/BCK$-algebras, linear groupoids over fields and special cases, in order to illustrate the usefulness of these ideas. Additionally, for groupoid-classes (e.g., $BCK$-algebras) where these notions have already been accepted in a standard form, we look at connections between the several definitions which result from our introduction of these ideas as presented in this paper.
Semi-neutral groupoids and $BCK$-algebras
김희식,Joseph Neggers,서영주 대한수학회 2022 대한수학회논문집 Vol.37 No.3
In this paper, we introduce the notion of a left-almost-zero groupoid, and we generalize two axioms which play important roles in the theory of $BCK$-algebra using the notion of a projection. Moreover, we investigate a Smarandache disjointness of semi-leftoids.