caa a22 4500 605468974 CHVBK 20210128100319.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00500-014-1586-0 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1586-0 A note on derivations on basic algebras [Elektronische Daten] [Jan Krňávek, Jan Kühr] 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. Springer-Verlag Berlin Heidelberg, 2015 MV-algebra nationallicence Lattice effect algebra nationallicence Basic algebra nationallicence Derivation nationallicence Krňávek Jan Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic aut Kühr Jan Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic aut Soft Computing Springer Berlin Heidelberg 19/7(2015-07-01), 1765-1771 1432-7643 19:7<1765 2015 19 500 https://doi.org/10.1007/s00500-014-1586-0 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/s00500-014-1586-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Krňávek Jan Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic aut NATIONALLICENCE 700 1- Kühr Jan Department of Algebra and Geometry, Palacký University in Olomouc, 17.listopadu12, 77146, Olomouc, Czech Republic aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/7(2015-07-01), 1765-1771 1432-7643 19:7<1765 2015 19 500