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Representations of zero-cancellative pomonoids
| Autoři | |
|---|---|
| Rok publikování | 2014 |
| Druh | Recenzovaný odborný článek |
| Časopis / Zdroj | Mathematica Slovaca |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | https://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 |