Companion $d$-algebras

Year, pages: 2007, 93 - 106

In this paper we develop a theory of companion $d$-algebras in sufficient detail to demonstrate considerable parallelism with the theory of $BCK$@-algebras as well as obtaining a collection of results of a novel type. Included among the latter are results on certain natural posets associated with companion $d$-algebras as well as constructions on $Bin(X)$, the collection of binary operations on the set $X$, which permit construction of new companion $d$-algebras from companion $d$-algebras $X$ also in natural ways.

Allen, P., Kim, H., Neggers, J. 2007. Companion $d$-algebras. In Mathematica Slovaca, vol. 57, no.2, pp. 93-106. 0139-9918.

Allen, P., Kim, H., Neggers, J. (2007). Companion $d$-algebras. Mathematica Slovaca, 57(2), 93-106. 0139-9918.