Publication: Π-Rickart rings
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Date
2021-08-01
Authors
Kara, Yeliz
Authors
Birkenmeier, Gary F.
Tercan, Adnan
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publ Co Pte
Abstract
In this paper, we introduce and investigate three new versions of the Rickart condition for rings. These conditions, as well as, three new corresponding regularities are defined using projection invariance. We show how these conditions relate to each other as well as their connections to the well-known Baer, Rickart, quasi-Baer, p.q.-Baer, regular, and biregular conditions. Applications to polynomial extensions and to triangular and full matrix rings are provided. Examples illustrate and delimit results.
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Keywords
Idempotents, Extensions, Sets, Right rickart ring, Right p.p ring, Baer ring, P-baer ring, Projection invariant, Generalized triangular matrix ring, Matrix ring, Polynomial extensions, Regular ring, Exchange ring, Banach algebra, Science & technology, Physical sciences, Mathematics, applied, Mathematics, Mathematics
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