Order structure of U-semiabundant semigroups and rings Part I: Left Lawson’s order /
In 1991, Lawson introduced three partial orders on reduced Usemiabundant semigroups. Their definitions are formally similar to recently discovered characteristics of the diamond, left star and right star orders respectively on Rickart *-rings; lattice properties of these orders have been studied by...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2020
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| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Matematika |
| doi: | 10.14232/actasm-019-426-3 |
| Online Access: | http://acta.bibl.u-szeged.hu/73896 |
| LEADER | 01517nab a2200205 i 4500 | ||
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| 001 | acta73896 | ||
| 005 | 20211115130527.0 | ||
| 008 | 211115s2020 hu o 0|| eng d | ||
| 022 | |a 2064-8316 | ||
| 024 | 7 | |a 10.14232/actasm-019-426-3 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Cīrulis Jānis | |
| 245 | 1 | 0 | |a Order structure of U-semiabundant semigroups and rings |h [elektronikus dokumentum] : |b Part I: Left Lawson’s order / |c Cīrulis Jānis |
| 260 | |c 2020 | ||
| 300 | |a 359-403 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 86 No. 3-4 | |
| 520 | 3 | |a In 1991, Lawson introduced three partial orders on reduced Usemiabundant semigroups. Their definitions are formally similar to recently discovered characteristics of the diamond, left star and right star orders respectively on Rickart *-rings; lattice properties of these orders have been studied by several authors. Motivated by these similarities, we turn to the lattice structure of U-semiabundant semigroups and rings under Lawson’s orders. In this paper, we deal with his order 6l on (a version of) right U-semiabundant semigroups and rings. In particular, existence of meets is investigated, it is shown that (under some natural assumptions) every initial section of such a ring is an orthomodular lattice, and explicit descriptions of the corresponding lattice operations are given. | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73896/1/math_086_numb_003-004_359-403.pdf |z Dokumentum-elérés |