Bi-amalgamations subject to the arithmetical property

作者：Kabbaj S^*; Mahdou N; Moutui M A S

来源：Journal of Algebra and Its Applications, 2017, 16(2): 1750030.

DOI：10.1142/S021949881750030X

• Amalgamated duplication
• amalgamated algebra
• bi-amalgamation
• arithmetical ring
• weak global dimension
• semi-hereditary ring
• Prufer domain

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.

• 出版日期2017-2
• 单位中国石油大学（北京）