IJPAM: Volume 78, No. 2 (2012)
Professor and Chair
Department of Mathematics
Troy University-Dothan Campus
P.O. Box 8368, Dothan, Alabama, 36304, USA
Abstract. It is well known that the category of all universal algebras with one unary operation is cartesian closed. We extend this result for the category of universal algebras of a fixed type all of whose operations are unary. That is, we show that the category is cartesian closed. In fact, we characterize some cartesian closed full isomorphism closed subcategories of using a concept called -friendly.
Received: March 13, 2012
AMS Subject Classification: 08A25, 08A60, 08A30, 08C05, 17A30, 18A40, 18B99, 18D15, 54A05
Key Words and Phrases: topological category, topological functors, universal algebra, topological algebra, cartesian closed, canonical function spaces
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395