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@article{1204370,
author = {Paseka, Jan},
article_location = {WARSAW},
article_number = {3},
doi = {http://dx.doi.org/10.2478/s12175-014-0239-1},
keywords = {MV-algebra; commutative pomonoid; zero-cancellative commutative pomonoid; Farkas' lemma; ultrafilter; ultraproduct},
language = {eng},
issn = {0139-9918},
journal = {Mathematica Slovaca},
title = {Representations of zero-cancellative pomonoids},
volume = {64},
year = {2014}
}
TY - JOUR
ID - 1204370
AU - Paseka, Jan
PY - 2014
TI - Representations of zero-cancellative pomonoids
JF - Mathematica Slovaca
VL - 64
IS - 3
SP - 777-788
EP - 777-788
PB - Slovak Academy of Sciences
SN - 01399918
KW - MV-algebra
KW - commutative pomonoid
KW - zero-cancellative commutative pomonoid
KW - Farkas' lemma
KW - ultrafilter
KW - ultraproduct
N2 - 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
ER -
PASEKA, Jan. Representations of zero-cancellative pomonoids. \textit{Mathematica Slovaca}. WARSAW: Slovak Academy of Sciences, 2014, roč.~64, č.~3, s.~777-788. ISSN~0139-9918. Dostupné z: https://dx.doi.org/10.2478/s12175-014-0239-1.
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