Cīrulis Jānis:
*Focal Baer semigroups and a restricted star order.*
In: Acta scientiarum mathematicarum, (85) 1-2.
pp. 97-117. (2019)

Cikk, tanulmány, mű
math_085_numb_001-002_097-117.pdf Restricted to: SZTE network Download (239kB) |

## Abstract

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.

Item Type: | Article |
---|---|

Journal or Publication Title: | Acta scientiarum mathematicarum |

Date: | 2019 |

Volume: | 85 |

Number: | 1-2 |

ISSN: | 2064-8316 |

Page Range: | pp. 97-117 |

Official URL: | http://www.acta.hu |

Related URLs: | http://acta.bibl.u-szeged.hu/62105/ |

DOI: | 10.14232/actasm-017-319-5 |

Uncontrolled Keywords: | Matematika |

Additional Information: | Bibliogr.: p. 116-117. ; összefoglalás angol nyelven |

Date Deposited: | 2019. Sep. 25. 10:03 |

Last Modified: | 2021. Mar. 25. 15:30 |

URI: | http://acta.bibl.u-szeged.hu/id/eprint/62135 |

## Actions (login required)

View Item |