Publication details
Representations of zero-cancellative pomonoids
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Mathematica Slovaca |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.2478/s12175-014-0239-1 |
| 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 |