Journal article
Cohen type theorems for a commutative ring
Houston Journal of Mathematics, Vol.43(2), pp.325-331
2017
Abstract
Let R be a commutative ring with 1 ≠ 0: We show that if every prime ideal containing a proper ideal is principal (resp., invertible, finitely generated locally principal), then I is a finite product of principal (resp., invertible, finitely generated locally principal) prime ideals. Let R be an integral domain and ∗ a finite character star operation on R: We show that if every prime ∗-ideal containing a proper ∗-ideal I is ∗-invertible, then I is a finite ∗-product of ∗-invertible prime ∗-ideals and hence is ∗-invertible. © 2017 University of Houston.
Details
- Title: Subtitle
- Cohen type theorems for a commutative ring
- Creators
- D.D. AndersonM. Zafrullah
- Resource Type
- Journal article
- Publication Details
- Houston Journal of Mathematics, Vol.43(2), pp.325-331
- Publisher
- University of Houston
- ISSN
- 0362-1588
- Language
- English
- Date published
- 2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984230627302771
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