On varieties of basic algebras
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| 008 | 210128e20150201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00500-014-1365-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00500-014-1365-y | ||
| 245 | 0 | 0 | |a On varieties of basic algebras |h [Elektronische Daten] |c [Ivan Chajda, Radomír Halaš] |
| 520 | 3 | |a It is known that the variety of commutative basic algebras, the variety of MV-algebras, the variety of orthomodular lattices and hence also the variety of Boolean algebras are proper subvarieties of the variety of basic algebras. In the paper several possible axiomatizations of the variety of basic algebras are provided. The variety of symmetric basic algebras is introduced and shown to be a proper subvariety of the variety of commutative basic algebras, and whose members have the underlying lattices distributive. It is proved that commutative basic algebras can be described as residuated $$l$$ l -groupoids. | |
| 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 Symmetric basic algebra |2 nationallicence | |
| 690 | 7 | |a Defining identity |2 nationallicence | |
| 690 | 7 | |a MV-algebra |2 nationallicence | |
| 690 | 7 | |a Orthomodular lattice |2 nationallicence | |
| 700 | 1 | |a Chajda |D Ivan |u Department of Algebra and Geometry, Faculty of Science, Palacký University, 17.listopadu12, 77146, Olomouc, Czech Republic |4 aut | |
| 700 | 1 | |a Halaš |D Radomír |u Department of Algebra and Geometry, Faculty of Science, Palacký University, 17.listopadu12, 77146, Olomouc, Czech Republic |4 aut | |
| 773 | 0 | |t Soft Computing |d Springer Berlin Heidelberg |g 19/2(2015-02-01), 261-267 |x 1432-7643 |q 19:2<261 |1 2015 |2 19 |o 500 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00500-014-1365-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00500-014-1365-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chajda |D Ivan |u Department of Algebra and Geometry, Faculty of Science, Palacký University, 17.listopadu12, 77146, Olomouc, Czech Republic |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Halaš |D Radomír |u Department of Algebra and Geometry, Faculty of Science, Palacký University, 17.listopadu12, 77146, Olomouc, Czech Republic |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Soft Computing |d Springer Berlin Heidelberg |g 19/2(2015-02-01), 261-267 |x 1432-7643 |q 19:2<261 |1 2015 |2 19 |o 500 | ||