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 …

A family of quotient rings of the Rees algebra associated to a commutative ring is studied.
This family generalizes both the classical concept of idealization by Nagata and a more …

In this paper I study and introducing myself some special type of near–fields amalgamated
duplication near-field N I over the rings and near-rings N. After in depth study of …

Let A and B be commutative rings with unity, 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 amalgamation …

Let A and B be commutative rings with unity, f:A→B a ring homomorphism and J an ideal of
B. Then, the subring A⋈^fJ:={(a,f(a)+j)∣a∈A and j∈J\} of A*B is called the amalgamation of …

Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper, after
recalling briefly the main properties of the amalgamated duplication ring RI which is …

We study some properties of a family of rings R (I) a, b that are obtained as quotients of the
Rees algebra associated with a ring R and an ideal I. In particular, we give a complete …

Reduction of the Small Cohen–Macaulay Conjecture to excellent unique factorization domains
Page 1 Arch. Math. 109 (2017), 429–439 c© 2017 Springer International Publishing AG …

Let R and S be commutative rings, let J be an ideal of S and let f: R→ S be a ring
homomorphism. In this paper, we investigate some homological properties of the …

Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper we study the
amalgamated duplication ring R▷◁ I which is introduced by D'Anna and Fontana. It is …