A note on derivations on basic algebras

Verfasser / Beitragende:
[Jan Krňávek, Jan Kühr]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/7(2015-07-01), 1765-1771
Format:
Artikel (online)
ID: 605468974
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024 7 0 |a 10.1007/s00500-014-1586-0  |2 doi 
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245 0 2 |a A note on derivations on basic algebras  |h [Elektronische Daten]  |c [Jan Krňávek, Jan Kühr] 
520 3 |a Generalizing derivations on MV-algebras, we introduce derivations on the so-called "basic algebras” which are a common abstraction of MV-algebras and orthomodular lattices. We prove that derivations coincide with projections onto certain intervals and in some particular cases, such as in MV-algebras, they correspond to certain direct product decompositions. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a MV-algebra  |2 nationallicence 
690 7 |a Lattice effect algebra  |2 nationallicence 
690 7 |a Basic algebra  |2 nationallicence 
690 7 |a Derivation  |2 nationallicence 
700 1 |a Krňávek  |D Jan  |u Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic  |4 aut 
700 1 |a Kühr  |D Jan  |u Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/7(2015-07-01), 1765-1771  |x 1432-7643  |q 19:7<1765  |1 2015  |2 19  |o 500 
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908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Krňávek  |D Jan  |u Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kühr  |D Jan  |u Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic  |4 aut 
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