IJPAM: Volume 76, No. 2 (2012)

SUPER IMPLICATIVE HYPER BCK-ALGEBRAS

Guy R. Biyogmam$^1$, Olivier A. Heubo-Kwegna$^2$, Jean B. Nganou$^3$
$^1$Department of Mathematics
Southwestern Oklahoma State University
100, Campus Dr., Weatherford, OK 73096-3001, USA
$^2$Department of Mathematical Sciences
Saginaw Valley State University
7400, Bay Road, University Center, MI 48710-0001, USA
$^3$Department of Mathematics
University of Oregon
Eugene, OR 97403, USA


Abstract. We introduce the class of super implicative hyper BCK-algebras and provide some examples. We also introduce the notion of quasi-strong implicative hyper BCK-ideal and study connections with the existing classes of Hyper BCK-ideals.

Received: December 12, 2011

AMS Subject Classification: 03G25, 20N20, 06F35

Key Words and Phrases: super implicative hyper BCK-algebra, quasi-strong implicative hyper BCK-ideals

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 2