86 citations
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Showing 2016Show all
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math.AC2016
Prufer conditions in an amalgamated duplication of a ring along an ideal
M. Chhiti, M. Jarrar, S. Kabbaj +1
This paper investigates ideal-theoretic as well as homological extensions of the Prufer domain concept to commutative rings with zero divisors in an amalgamated duplication of a ri…
math.AC2016
Bi-amalgamations subject to the arithmetical property
S. Kabbaj, N. Mahdou, M. A. S. Moutui
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 o…