Commutative basic algebras and coupled near semirings

Verfasser / Beitragende:
[Ivan Chajda, Helmut Länger]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/5(2015-05-01), 1129-1134
Format:
Artikel (online)
ID: 605470367
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024 7 0 |a 10.1007/s00500-014-1537-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1537-9 
245 0 0 |a Commutative basic algebras and coupled near semirings  |h [Elektronische Daten]  |c [Ivan Chajda, Helmut Länger] 
520 3 |a The relationship between MV-algebras and semirings was described by Di Nola and Gerla (Contemp Math 377:131-144, 2005). Since commutative basic algebras are similar to MV-algebras up to associativity of the binary operation we try to get a similar relationship between commutative basic algebras and so-called near semirings and we show that this is possible. This means that associativity does not play an important role in establishing a connection between an algebra of many-valued logic and a structure similar to a semiring. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Basic algebra  |2 nationallicence 
690 7 |a Commutative basic algebra  |2 nationallicence 
690 7 |a Near semiring  |2 nationallicence 
690 7 |a Coupled near semiring  |2 nationallicence 
700 1 |a Chajda  |D Ivan  |u Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 77146, Olomouc, Czech Republic  |4 aut 
700 1 |a Länger  |D Helmut  |u Faculty of Mathematics and Geoinformation, Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/5(2015-05-01), 1129-1134  |x 1432-7643  |q 19:5<1129  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1537-9  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chajda  |D Ivan  |u Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 77146, Olomouc, Czech Republic  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Länger  |D Helmut  |u Faculty of Mathematics and Geoinformation, Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/5(2015-05-01), 1129-1134  |x 1432-7643  |q 19:5<1129  |1 2015  |2 19  |o 500