Prüfer conditions in an amalgamated duplication of a ring along an ideal
M Chhiti, M Jarrar, S Kabbaj… - Communications in …, 2015 - Taylor & Francis
M Chhiti, M Jarrar, S Kabbaj, N Mahdou
Communications in Algebra, 2015•Taylor & FrancisThis paper investigates ideal-theoretic as well as homological extensions of the Prüfer
domain concept to commutative rings with zero divisors in an amalgamated duplication of a
ring along an ideal. The new results both compare and contrast with recent results on trivial
ring extensions (and pullbacks) as well as yield original families of examples issued from
amalgamated duplications subject to various Prüfer conditions.
domain concept to commutative rings with zero divisors in an amalgamated duplication of a
ring along an ideal. The new results both compare and contrast with recent results on trivial
ring extensions (and pullbacks) as well as yield original families of examples issued from
amalgamated duplications subject to various Prüfer conditions.
This paper investigates ideal-theoretic as well as homological extensions of the Prüfer domain concept to commutative rings with zero divisors in an amalgamated duplication of a ring along an ideal. The new results both compare and contrast with recent results on trivial ring extensions (and pullbacks) as well as yield original families of examples issued from amalgamated duplications subject to various Prüfer conditions.
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