Publication:
A partial order on subsets of baer bimodules with applications to c*-modules

dc.contributor.authorBirkenmeier, Gary F.
dc.contributor.authorKara, Yeliz
dc.contributor.buuauthorKARA ŞEN, YELİZ
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.orcid0000-0002-8001-6082
dc.contributor.researcheridAAG-8304-2021
dc.date.accessioned2024-06-27T05:57:06Z
dc.date.available2024-06-27T05:57:06Z
dc.date.issued2021-11-01
dc.description.abstractIn 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.doi10.1142/S0219498821501954
dc.identifier.eissn1793-6829
dc.identifier.issn0219-4988
dc.identifier.issue11
dc.identifier.urihttps://doi.org/10.1142/S0219498821501954
dc.identifier.urihttps://www.worldscientific.com/doi/abs/10.1142/S0219498821501954
dc.identifier.urihttps://hdl.handle.net/11452/42472
dc.identifier.volume20
dc.identifier.wos000708911100014
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.journalJournal of Algebra And Its Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.relation.tubitakTUBITAK/BIDEB-2219
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBaer bimodule
dc.subjectBaer ring
dc.subjectC*-module
dc.subjectPartial order
dc.subjectProjection invariance
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics, applied
dc.subjectMathematics
dc.titleA partial order on subsets of baer bimodules with applications to c*-modules
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicationcefc08b2-e6fe-4b0b-846e-f8d1b36b7066
relation.isAuthorOfPublication.latestForDiscoverycefc08b2-e6fe-4b0b-846e-f8d1b36b7066

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