Bi-amalgamations subject to the arithmetical property
Commutative Algebra
2016-01-29 v1
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.
Cite
@article{arxiv.1601.07653,
title = {Bi-amalgamations subject to the arithmetical property},
author = {S. Kabbaj and N. Mahdou and M. A. S. Moutui},
journal= {arXiv preprint arXiv:1601.07653},
year = {2016}
}
Comments
11 pages, Journal of Algebra and its Applications 2016