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http://dx.doi.org/10.4134/CKMS.2009.24.3.361

CONSTRUCTION OF MANY d-ALGEBRAS  

Allen, Paul J. (DEPARTMENT OF MATHEMATICS UNIVERSITY OF ALABAMA)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.3, 2009 , pp. 361-366 More about this Journal
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;
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