On a new construction of pseudo effect algebras
| LEADER | caa a22 4500 | ||
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| 001 | 605469415 | ||
| 003 | CHVBK | ||
| 005 | 20210128100322.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150301xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00500-014-1468-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00500-014-1468-5 | ||
| 100 | 1 | |a Dvurečenskij |D Anatolij |u Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia |4 aut | |
| 245 | 1 | 0 | |a On a new construction of pseudo effect algebras |h [Elektronische Daten] |c [Anatolij Dvurečenskij] |
| 520 | 3 | |a We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which are connected not necessarily with partially ordered groups, but rather with generalized pseudo effect algebras where the greatest element is not guaranteed. Starting even with a commutative generalized pseudo effect algebra, we can obtain a non-commutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz decomposition properties. We find conditions when kite pseudo effect algebras have the least non-trivial normal ideal. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Pseudo effect algebra |2 nationallicence | |
| 690 | 7 | |a Generalized pseudo effect algebra |2 nationallicence | |
| 690 | 7 | |a Po-group |2 nationallicence | |
| 690 | 7 | |a Strong unit |2 nationallicence | |
| 690 | 7 | |a Riesz decomposition property |2 nationallicence | |
| 690 | 7 | |a Lexicographic product |2 nationallicence | |
| 690 | 7 | |a Kite pseudo effect algebra |2 nationallicence | |
| 690 | 7 | |a Normal ideal |2 nationallicence | |
| 690 | 7 | |a Subdirect irreducibility |2 nationallicence | |
| 773 | 0 | |t Soft Computing |d Springer Berlin Heidelberg |g 19/3(2015-03-01), 517-529 |x 1432-7643 |q 19:3<517 |1 2015 |2 19 |o 500 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00500-014-1468-5 |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/s00500-014-1468-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Dvurečenskij |D Anatolij |u Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Soft Computing |d Springer Berlin Heidelberg |g 19/3(2015-03-01), 517-529 |x 1432-7643 |q 19:3<517 |1 2015 |2 19 |o 500 | ||