Open AccessSimplices in the Endomorphism Semiring of a Finite Chain
Author(s) -
Ivan Trendafilov
Publication year - 2014
Publication title -
algebra
Language(s) - English
Resource type - Journals
eISSN - 2314-4114
pISSN - 2314-4106
DOI - 10.1155/2014/263605
Subject(s) - endomorphism , semiring , cardinality (data modeling) , mathematics , chain (unit) , simplex , combinatorics , discrete mathematics , pure mathematics , computer science , physics , astronomy , data mining
We establish new results concerning endomorphisms of a finite chain, if the cardinality of the image of such endomorphism is no more than some fixed number. The semiring of all such endomorphisms can be seen as a simplex whose vertices are the constant endomorphisms. We explore the properties of these simplices
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