A note on classical quotient rings Page 1 ANNALES SOCIETATIS MATHEMATICAE POLONAE
Series I: COMMENTATIONES MATHEMATICAE XXX (1991) ROCZNIK.I POLSKIEGO …

Let $ f: A\rightarrow B $ be a ring homomorphism and $ J $ be an ideal of $ B $. In this
paper, we investigate the transfer of Armendariz-like properties to the amalgamation of $ A …

Abstract Let f: A ⟶ B f: A⟶ B and g: A ⟶ C g: A⟶ C be two ring homomorphisms and let J
(resp., J'J′) be an ideal of B (resp., C) such that f^-1 (J)= g^-1 (J') f-1 (J)= g-1 (J′). In this …

Abstract Let f: A→ B be a ring homomorphism and J be an ideal of B. In this note, we
investigate the transfer of the weak McCoy property to the amalgamation of A with B along J …

The purpose of this paper is to indicate that most of noncommutative homological ring theory
generalizes to (pre) additive category theory, as well as to provide some reasons for wanting …

Let S be a non-commutative associative ring with an identity element and G be a finite group
of ring automorhphisms of S. By exploiting Morita Theory, a bijection between subsets of …

In this chapter, we shall review a number of basic notions and results concerning rings and
modules. First, let us settle the basic terminology and notation that we shall use throughout …

We investigate the transfer of the notion of semisuitable, potent, and semipotent rings in
different settings of the amalgamated algebras along an ideal. We put the transfer results in …

Let A be a ring. Then A is called p-clean ring if each element in A express as the sum of an
idempotent and pure element. Let f: A→ B be a ring homomorphism and J be an ideal of B …

More on a generalization of commutative and alternative rings Page 1 Pacific Journal of
Mathematics MORE ON A GENERALIZATION OF COMMUTATIVE AND ALTERNATIVE RINGS …