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Representations of zero-cancellative pomonoids
Autoři | |
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Rok publikování | 2014 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Mathematica Slovaca |
Fakulta / Pracoviště MU | |
Citace | |
Doi | http://dx.doi.org/10.2478/s12175-014-0239-1 |
Obor | Obecná matematika |
Klíčová slova | MV-algebra; commutative pomonoid; zero-cancellative commutative pomonoid; Farkas' lemma; ultrafilter; ultraproduct |
Popis | 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 |