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In this paper we consider constructive function triples on the real
numbers R and on (not necessarily commutative) integral
domains D which permit the construction of a multitude of
d-algebras via these constructive function triples. At the same
time these constructions permit one to consider various conditions
on these d-algebras for subsets of solutions of various
equations, thereby producing geometric problems and interesting
visualizations of some of these subsets of solutions. In
particular, one may consider what notions such as "locally BCK"
ought to mean, certainly in the setting provided below.
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참고문헌 (12)
참고문헌 신청
D. Mundici / 1986 / MV -algebras are categorically equivalent to bounded commutative BCKalgebras / Math. Japonica 31 : 889 ~ 894
J. Meng / 1994 / BCK-Algebras / Kyung Moon Sa
J. Meng / 1995 / Implicative commutative semigroups are equivalent to a class of BCK-algebras / Semigroup Forum 50 : 89 ~ 96
J. Neggers / 1999 / On d-algebras / Math. Slovaca 49 : 19 ~ 26
J. Neggers / 1999 / On d-ideals in d-algebras / Math. Slovaca 49 : 243 ~ 251
J. Meng / 1994 / BCK-Algebras / Kyung Moon Sa
J. Meng / 1995 / Implicative commutative semigroups are equivalent to a class of BCK-algebras / Semigroup Forum 50 : 89 ~ 96
J. Neggers / 1999 / On d-algebras / Math. Slovaca 49 : 19 ~ 26
J. Neggers / 1999 / On d-ideals in d-algebras / Math. Slovaca 49 : 243 ~ 251
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