Varieties of algebras arising from K-perfect m-cycle systems
Contribuinte(s) |
Peter L Hammer |
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Data(s) |
01/01/2006
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Resumo |
A class of algebras forms a variety if it is characterised by a collection of identities. There is a well-known method, often called the standard construction, which gives rise to algebras from m-cycle systems. It is known that the algebras arising from {1}-perfect m-cycle systems form a variety for m is an element of {3, 5} only, and that the algebras arising from {1, 2}-perfect m-cycle systems form a variety for m is an element of {3, 5, 7} only. Here we give, for any set K of positive integers, necessary and sufficient conditions under which the algebras arising from K-perfect m-cycle systems form a variety. (c) 2006 Elsevier B.V. All rights reserved. |
Identificador | |
Idioma(s) |
eng |
Publicador |
Elsevier Science Bv |
Palavras-Chave | #Homomorphism #K-perfect M-cycle System #M-circuit System #Variety #Mathematics #M=3 #C1 #230101 Mathematical Logic, Set Theory, Lattices And Combinatorics #230103 Rings And Algebras #780101 Mathematical sciences |
Tipo |
Journal Article |