Publication: A partial order on subsets of baer bimodules with applications to c*-modules
dc.contributor.author | Birkenmeier, Gary F. | |
dc.contributor.author | Kara, Yeliz | |
dc.contributor.buuauthor | KARA ŞEN, YELİZ | |
dc.contributor.department | Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü | |
dc.contributor.orcid | 0000-0002-8001-6082 | |
dc.contributor.researcherid | AAG-8304-2021 | |
dc.date.accessioned | 2024-06-27T05:57:06Z | |
dc.date.available | 2024-06-27T05:57:06Z | |
dc.date.issued | 2021-11-01 | |
dc.description.abstract | In this paper, we introduce the concept of Baer (p, q)-sets. Using this notion, we define Rickart, Baer, quasi-Baer and pi-Baer (S, R)-bimodules, respectively. We show how these conditions relate to each other. We also develop new properties of the minus binary relation, <=-, we extend the relation <=- to (S, R)-bimodules and use it to characterize the aforementioned Rickart, Baer, quasi-Baer, and pi-Baer (S,R)-bimodules. Moreover, we specify subsets kappa of the power set of a (S,R)-bimodule for which <=- determines a partial order and for which <=- is a lattice. We analyze the relation <=- by examining the associated Baer (p, q)-sets. Finally, we apply our results to C*-modules. Examples are provided to illustrate and delimit our results. | |
dc.identifier.doi | 10.1142/S0219498821501954 | |
dc.identifier.eissn | 1793-6829 | |
dc.identifier.issn | 0219-4988 | |
dc.identifier.issue | 11 | |
dc.identifier.uri | https://doi.org/10.1142/S0219498821501954 | |
dc.identifier.uri | https://www.worldscientific.com/doi/abs/10.1142/S0219498821501954 | |
dc.identifier.uri | https://hdl.handle.net/11452/42472 | |
dc.identifier.volume | 20 | |
dc.identifier.wos | 000708911100014 | |
dc.indexed.wos | WOS.SCI | |
dc.language.iso | en | |
dc.publisher | World Scientific Publ Co Pte Ltd | |
dc.relation.journal | Journal of Algebra And Its Applications | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.relation.tubitak | TUBITAK/BIDEB-2219 | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Baer bimodule | |
dc.subject | Baer ring | |
dc.subject | C*-module | |
dc.subject | Partial order | |
dc.subject | Projection invariance | |
dc.subject | Science & technology | |
dc.subject | Physical sciences | |
dc.subject | Mathematics, applied | |
dc.subject | Mathematics | |
dc.title | A partial order on subsets of baer bimodules with applications to c*-modules | |
dc.type | Article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | cefc08b2-e6fe-4b0b-846e-f8d1b36b7066 | |
relation.isAuthorOfPublication.latestForDiscovery | cefc08b2-e6fe-4b0b-846e-f8d1b36b7066 |