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 …

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 𝑅 be a commutative ring and 𝑀 an 𝑅-module. Nagata introduced the idealization 𝑅 (+) 𝑀
of 𝑀. Here 𝑅 (+) 𝑀= 𝑅⊕ 𝑀 (direct sum) is a commutative ring with product (𝑟₁, 𝑚₁)(𝑟₂ …