caa a22 4500 605470367 CHVBK 20210128100327.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00500-014-1537-9 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1537-9 Commutative basic algebras and coupled near semirings [Elektronische Daten] [Ivan Chajda, Helmut Länger] 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. Springer-Verlag Berlin Heidelberg, 2014 Basic algebra nationallicence Commutative basic algebra nationallicence Near semiring nationallicence Coupled near semiring nationallicence Chajda Ivan Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 77146, Olomouc, Czech Republic aut Länger Helmut Faculty of Mathematics and Geoinformation, Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria aut Soft Computing Springer Berlin Heidelberg 19/5(2015-05-01), 1129-1134 1432-7643 19:5<1129 2015 19 500 https://doi.org/10.1007/s00500-014-1537-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1537-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chajda Ivan Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 77146, Olomouc, Czech Republic aut NATIONALLICENCE 700 1- Länger Helmut Faculty of Mathematics and Geoinformation, Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/5(2015-05-01), 1129-1134 1432-7643 19:5<1129 2015 19 500