DocumentCode
2054474
Title
Some Classes of Centralizing Monoids on a Three-Element Set
Author
Goldstern, Martin ; Machida, Hajime ; Rosenberg, Ivo G.
Author_Institution
Tech. Univ. Wien, Vienna, Austria
fYear
2015
fDate
18-20 May 2015
Firstpage
205
Lastpage
210
Abstract
Commutation is defined for multi-variable functions on a non-empty set A. A centralizing mooned M is a set of unary functions which commute with all members of some set F of multi-variable functions. In such a case, we call F a witness of M. In this paper, we consider the case where A is a three-element set and determine all centralizing monodies which have ternary majority functions or ternary semi projections as their witnesses.
Keywords
group theory; set theory; centralizing monoids; multivariable functions; nonempty set; ternary majority functions; ternary semiprojections; three-element set; unary functions; Algebra; Bismuth; Cloning; Compounds; Systematics; centralizing monoid; clone; majority function; semiprojection;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic (ISMVL), 2015 IEEE International Symposium on
Conference_Location
Waterloo, ON
ISSN
0195-623X
Type
conf
DOI
10.1109/ISMVL.2015.29
Filename
7238159
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