Abstract
This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit the arithmetical property, with applications on the weak global dimension and transfer of the semihereditary property. The new results compare to previous works carried on various settings of duplications and amalgamations, and capitalize on recent results on bi-amalgamations. All results are backed with new and illustrative examples arising as bi-amalgamations.
| Original language | English |
|---|---|
| Article number | 1750030 |
| Journal | Journal of Algebra and its Applications |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 2017 |
Bibliographical note
Publisher Copyright:© 2017 World Scientific Publishing Company.
Keywords
- Amalgamated duplication
- Prüfer domain
- amalgamated algebra
- arithmetical ring
- bi-amalgamation
- semi-hereditary ring
- weak global dimension
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics
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