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
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;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2015 IEEE International Symposium on
Conference_Location :
Waterloo, ON
DOI :
10.1109/ISMVL.2015.29
