Journal article
A generalization of semiclean rings
Communications in Algebra, Vol.48(5), pp.2127-2142
2020
DOI: 10.1080/00927872.2019.1710177
Abstract
Ye defined a ring to be semiclean if every element of it can be written as a sum of a unit element and a periodic element. In this paper we generalize the notion of a semiclean ring to an almost semiclean ring. A ring R is said to be almost semiclean if each element is a sum of a regular element and a periodic element. We discuss some basic properties of almost semiclean rings. For example, R is almost semiclean if and only if the polynomial ring over R is almost semiclean. We also discuss when the idealization is almost semiclean. Finally, we give examples which distinguish almost semiclean rings from other classes of rings. Communicated by Silvana Bazzoni. © 2020, © 2020 Taylor & Francis Group, LLC.
Details
- Title: Subtitle
- A generalization of semiclean rings
- Creators
- D.D. Anderson - University of IowaN. Bisht - Indian Institute of Technology Indore
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.48(5), pp.2127-2142
- Publisher
- Taylor and Francis Inc.
- DOI
- 10.1080/00927872.2019.1710177
- ISSN
- 0092-7872
- Language
- English
- Date published
- 2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984230421202771
Metrics
9 Record Views