The inflation class operator |
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Authors: | A Christie Q Wang S L Wismath |
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Institution: | (1) Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada, T2N-1N4;(2) School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada, K1S-5B6;(3) Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, Canada, T1K-3M4 |
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Abstract: | We consider the inflation class operator, denoted by F, where for any class K of algebras, F(K) is the class of all inflations of algebras in K. We study the interaction of this operator with the usual algebraic operators H, S andP, and describe the partially-ordered monoid generated by H, S, P andF (with the isomorphism operator I as an identity).
Received February 3, 2004; accepted in final form January 3, 2006. |
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Keywords: | 2000 Mathematics Subject Classification" target="_blank">2000 Mathematics Subject Classification 08A05 |
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