Journal article
Semigroups and rings whose zero products commute
Communications in Algebra, Vol.27(6), pp.2847-2852
01/01/1999
DOI: 10.1080/00927879908826596
Abstract
Let S be a semigroup with zero 0 and let n ≥ 2. We say that S satisfies for each permutation σ ∈ S n A ring R satisfies ZC n if (.R, .) satisfies ZC n . We show that if S satisfies ZC n for a fixed n ≥ 3, then S also satisfies ZC n+1 , but we give an example of a ring R with identity which satisfies ZC 2 but does not satisfy ZC 3 We show that a semigroup with no nonzero nilpotents satisfiesZC n for all n ≥ 2 and investigate rings that satisfy ZC n .
Details
- Title: Subtitle
- Semigroups and rings whose zero products commute
- Creators
- D.D Anderson - Department of Mathematics , The University of Iowa IowaVictor Camillo - Department of Mathematics , The University of Iowa Iowa
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.27(6), pp.2847-2852
- Publisher
- Gordon and Breach Science Publishers Ltd
- DOI
- 10.1080/00927879908826596
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 01/01/1999
- Academic Unit
- Mathematics
- Record Identifier
- 9983985967402771
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