Focal Baer semigroups and a restricted star order
The goal of the paper is to transfer some order properties of starordered Rickart *-rings to Baer semigroups. A focal Baer semigroup S is a semigroup with 0 expanded by two unary idempotent-valued operations, 8 and , such that the left (right) ideal generated by x 8 (resp., x ) is the left (resp., r...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 1-2 |
| Kulcsszavak: | Matematika |
| doi: | 10.14232/actasm-017-319-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/62135 |
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| 024 | 7 | |a 10.14232/actasm-017-319-5 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Cīrulis Jānis | |
| 245 | 1 | 0 | |a Focal Baer semigroups and a restricted star order |h [elektronikus dokumentum] / |c Cīrulis Jānis |
| 260 | |c 2019 | ||
| 300 | |a 97-117 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 85 No. 1-2 | |
| 520 | 3 | |a The goal of the paper is to transfer some order properties of starordered Rickart *-rings to Baer semigroups. A focal Baer semigroup S is a semigroup with 0 expanded by two unary idempotent-valued operations, 8 and , such that the left (right) ideal generated by x 8 (resp., x ) is the left (resp., right) annihilator of x. S is said to be symmetric if the ranges of the two operations coincide and p 8 = p for every p from the common range P. Such a semigroup is shown to be P-semiabundant. If it is also Lawson reduced, then P is an orthomodular lattice under the standard order of idempotents, and a restricted version of Drazin star partial order can be defined on S. The lattice structure of S under this order is shown to be similar, in several respects, to that of star-ordered Rickart *-rings. | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/62135/1/math_085_numb_001-002_097-117.pdf |z Dokumentum-elérés |