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 …

Suppose that A is a Noetherian local (commutative integral) domain which is analytically
irreducible and of Krull dimension at most 1; as we noted in [BDF2, Remark 5 (b)], this is …

Let f WA! B be a ring homomorphism and J an ideal of B. In this paper, we initiate a
systematic study of a new ring construction called the “amalgamation of A with B along J with …

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 …

Spectral spaces are a class of topological spaces. They are a tool linking algebraic
structures, in a very wide sense, with geometry. They were invented to give a functional …

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 …

Several parallel characterizations of the FIP and FCP properties are given. Also, a number of
results about FCP are generalized from domains to arbitrary (commutative) rings. Let R⊆ S …

An integral domain R is said to be a UMT-domain if uppers to zero in R [X) are maximal t-
ideals. We show that R is a UMT-domain if and only if its localizations at maximal t deals …

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 …

In questo lavoro vengono studiate due controparti globali della nozione di dominio di
pseudo-valutazione (abbreviato, PVD), un tipo di dominio quasi-locale diviso introdotto da …