Construction of many $d$-algebras
Commun. Korean Math. Soc. 2009 Vol. 24, No. 3, 361-366
Printed September 1, 2009
Paul J. Allen
University of Alabama
Abstract : In this paper we consider constructive function triples on the real numbers ${\mathbb R}$ 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.
Keywords : $BCK/d$-algebra, constructive functions, commutative, $BCK$-point, transitivity set
MSC numbers : 06F35
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