A note on derivations on basic algebras
Gespeichert in:
Verfasser / Beitragende:
[Jan Krňávek, Jan Kühr]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/7(2015-07-01), 1765-1771
Format:
Artikel (online)
Online Zugang:
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| 035 | |a (NATIONALLICENCE)springer-10.1007/s00500-014-1586-0 | ||
| 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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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00500-014-1586-0 |q text/html |z Onlinezugriff via DOI | ||
| 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 | ||
| 950 | |B NATIONALLICENCE |P 773 |E 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 | ||