Publication details

On elementary extensions of finite negative commutative tomonoids

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Authors

PETRÍK Milan VETTERLEIN Thomas

Year of publication 2014
Type Article in Proceedings
Citation
Description We study finite negative, commutative, totally ordered monoids as important components of finite residuated chains and we propose their representation by means of level sets. Our approach is inspired by the branch of differential geometry called web geometry in which algebraic properties of structures based on loops are illustratively depicted by webs and closure figures. We adapt this concept for the structures in question and, with its help, we show that in the Archimedean case a method to describe the elementary extensions of such finite totally ordered monoids can be given.
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