Yayınlanmış 1 Ocak 2017
| Sürüm v1
Dergi makalesi
Açık
Reversibility of Rings with Respect to the Jacobson Radical
- 1. Ankara Univ, Dept Math, Ankara, Turkey
- 2. Hangzhou Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China
- 3. Hacettepe Univ, Dept Math, Ankara, Turkey
Açıklama
Let R be a ring with identity and J(R) denote the Jacobson radical of R. A ring R is called J-reversible if for any a, b is an element of R, ab = 0 implies ba is an element of J(R). In this paper, we give some properties of J-reversible rings. We prove that some results of reversible rings can be extended to J-reversible rings for this general setting. We show that J-quasipolar rings, local rings, semicommutative rings, central reversible rings and weakly reversible rings are J-reversible. As an application it is shown that every J-clean ring is directly finite.
Dosyalar
bib-9a90b5f6-a5e4-47ee-aa3a-7a5dfcdff37c.txt
Dosyalar
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