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http://hdl.handle.net/123456789/129
Title: | Clones of full terms |
Authors: | Denecke, Klaus Jampachon, Prakit |
Keywords: | алгебра |
Issue Date: | 2004 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
Abstract: | In this paper the well-known connection between hyperidentities of an algebra and identities satisfied by the clone of this algebra is studied in a restricted setting, that of n-ary full hyperidentities and identities of the n-ary clone of term operations which are induced by full terms. We prove that the n-ary full terms form an algebraic structure which is called a Menger algebra of rank n. For a variety V , the set IdF n V of all its identities built up by full n-ary terms forms a congruence relation on that Menger algebra. If IdF n V is closed under all full hypersubstitutions, then the variety V is called n−F−solid. We will give a characterization of such varieties and apply the results to 2 − F−solid varieties of commutative groupoids. |
URI: | http://hdl.handle.net/123456789/129 |
ISSN: | 1726-3255 |
Appears in Collections: | Статті |
Files in This Item:
File | Description | Size | Format | |
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adm-n4-1.pdf | 161.58 kB | Adobe PDF | View/Open |
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