Let f: A→ B be a ring homomorphism and let J be an ideal of B. In this paper, we study the
amalgamation of A with B along J with respect to f (denoted by A⋈ fJ), a construction that …

Let f: A→ B be a ring homomorphism, and let J be an ideal of B. In this article, we study the
amalgamation of A with B along J with respect to f (denoted by A⋈ f J), a construction that …

We introduce a new general construction, denoted by R⋈ E, called the amalgamated
duplication of a ring R along an R-module E, that we assume to be an ideal in some overring …

After recalling briefly the main properties of the amalgamated duplication of a ring R along
an ideal I, denoted by R⋈I, see M. D'Anna and M. Fontana, to appear in J. Algebra Appl., we …

Let A and B be commutative rings with identity, f: A→ B a ring homomorphism and J an ideal
of B. Then the subring A⋈ f J:={(a, f (a)+ j)| a∈ A and j∈ J} of A× B is called the …

A Waring decomposition of a polynomial is an expression of the polynomial as a sum of
powers of linear forms, where the number of summands is minimal possible. We prove that …

Cet article passe en revue les principaux resultats connus au sujet des anneaux et modules
coherents, et resoud un certain nombre de probltmes a l'aide d'une nouvelle notion …

RÉSUMÉ M. Hochster a conjecturé que pour toute extension finie S d'un anneau commutatif
régulier R, la suite exacte de R-modules 0→ R→ S→ S/R→ 0 est scindée. En nous …