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Commutative rings with two-absorbing factorization
- Source :
- Communications in Algebra. 46:970-978
- Publication Year :
- 2017
- Publisher :
- Informa UK Limited, 2017.
-
Abstract
- We use the concept of 2-absorbing ideal introduced by Badawi to study those commutative rings in which every proper ideal is a product of 2-absorbing ideals (we call them TAF-rings). Any TAF-ring has dimension at most one and the local TAF-domains are the atomic pseudo-valuation domains.<br />9 Pages
- Subjects :
- Pure mathematics
Algebra and Number Theory
Ideal (set theory)
Mathematics::Commutative Algebra
010102 general mathematics
Dimension (graph theory)
010103 numerical & computational mathematics
Commutative ring
Commutative Algebra (math.AC)
Mathematics - Commutative Algebra
01 natural sciences
Factorization
Product (mathematics)
FOS: Mathematics
Primary 13A15, Secondary 13F15
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15324125 and 00927872
- Volume :
- 46
- Database :
- OpenAIRE
- Journal :
- Communications in Algebra
- Accession number :
- edsair.doi.dedup.....5dbb6bbc720e191593858d815c21845c