Publication details

Representations of zero-cancellative pomonoids



Year of publication 2014
Type Article in Periodical
Magazine / Source Mathematica Slovaca
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords MV-algebra; commutative pomonoid; zero-cancellative commutative pomonoid; Farkas' lemma; ultrafilter; ultraproduct
Description Several familiar results on representations of MV-algebras shape the idea that the use of solving systems of linear equations can be studied also in the setting of zero-cancellative commutative pomonoids. This paper investigates this idea and shows that for the class of linearly representable zero-cancellative commutative pomonoids the respective results apply as well. (C) 2014 Mathematical Institute Slovak Academy of Sciences

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