PASEKA, Jan. Representations of zero-cancellative pomonoids. Mathematica Slovaca. WARSAW: Slovak Academy of Sciences, 2014, vol. 64, No 3, p. 777-788. ISSN 0139-9918. Available from: https://dx.doi.org/10.2478/s12175-014-0239-1.
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Basic information
Original name Representations of zero-cancellative pomonoids
Authors PASEKA, Jan (203 Czech Republic, guarantor, belonging to the institution).
Edition Mathematica Slovaca, WARSAW, Slovak Academy of Sciences, 2014, 0139-9918.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Poland
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.409
RIV identification code RIV/00216224:14310/14:00077048
Organization unit Faculty of Science
Doi http://dx.doi.org/10.2478/s12175-014-0239-1
UT WoS 000339113700018
Keywords in English MV-algebra; commutative pomonoid; zero-cancellative commutative pomonoid; Farkas' lemma; ultrafilter; ultraproduct
Tags AKR, rivok
Changed by Changed by: prof. RNDr. Jan Paseka, CSc., učo 1197. Changed: 30/10/2014 14:53.
Abstract
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
Links
EE2.3.20.0051, research and development projectName: Algebraické metody v kvantové logice
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