Abstract
This paper investigates ideal-theoretic as well as homological extensions of the Prüfer domain concept to commutative rings with zero divisors in an amalgamated duplication of a ring along an ideal. The new results both compare and contrast with recent results on trivial ring extensions (and pullbacks) as well as yield original families of examples issued from amalgamated duplications subject to various Prüfer conditions.
| Original language | English |
|---|---|
| Pages (from-to) | 249-261 |
| Number of pages | 13 |
| Journal | Communications in Algebra |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2015 |
Bibliographical note
Funding Information:This work is supported by King Fahd University of Petroleum and Minerals under Research Project #: RG1208-1/2.
Keywords
- Amalgamated duplication of a ring along an ideal
- Arithmetical ring
- Fqp-ring
- Gaussian ring
- Prüfer domain
- Prüfer ring
- Semihereditary ring
- Weak global dimension
ASJC Scopus subject areas
- Algebra and Number Theory