Abstract
In this paper, we investigate the transfer of the notions of pm-rings, rings of finite character and h-local rings to trivial ring extensions of rings by modules, amalgamations of rings along ideals and pullbacks. Our aim is to provide new classes of commutative rings satisfying these properties and our results generate new families of examples of rings for which the finite character and semi-local properties are equivalents.
| Original language | English |
|---|---|
| Article number | 1450018 |
| Journal | Journal of Algebra and its Applications |
| Volume | 13 |
| Issue number | 6 |
| DOIs | |
| State | Published - Sep 2014 |
Bibliographical note
Funding Information:This work is supported by KFUPM under Project RG 1307-1 & RG 1307-2.
Keywords
- Amalgamation rings
- amalgamated duplication
- h-local rings
- pm-rings
- rings of finite character
- semilocal rings
- trivial ring extension
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics
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