Add to ORKGWe present a survey of some results on ipri-rings and right Bezout rings. All these rings are generalizations of principal ideal rings. From the general point of view, decomposition theorems are proved for semiperfect ipri-rings and right Bezout rings
AbstractIn this paper, we extend various classical results by Armendariz and Steinberg, Fisher, Kapl...
Recall that an f-ring is a lattice-ordered ring in which a Λ b = 0 implies a Λ bc = a Λ cb = 0 whene...
Noncommutative Prfifer rings appear naturally when one wants to transfer the known results for rings...
AbstractWe show that ifRis a semiperfect ring with essential left socle andrl(K)=Kfor every small ri...
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. I...
AbstractA ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis...
AbstractIt is shown that certain classes of Bezout domains have stable range 1, and thus are element...
AbstractA module M is said to satisfy the condition (℘∗) if M is a direct sum of a projective module...
An inversive semiring S is called p-regular if for each a E S, there exists some b E S such that a +...
We give a characterization of right Noetherian semiprimesemiperfect and semidistributive rings with ...
Abstract. The purpose of this paper is to introduce two new classes of rings that are closely relate...
The object of this paper is to determine the structure and properties of right subdirectly irreducib...
AbstractIn this paper the structure of right nonsingular semiperfect right CS-rings has been conside...
In this paper we present some results for FDI-rings, i.e. rings with a complete set of pairwise orth...
Dlab V, Ringel CM. Every semiprimary ring is the endomorphism ring of a projective module over a qua...
AbstractIn this paper, we extend various classical results by Armendariz and Steinberg, Fisher, Kapl...
Recall that an f-ring is a lattice-ordered ring in which a Λ b = 0 implies a Λ bc = a Λ cb = 0 whene...
Noncommutative Prfifer rings appear naturally when one wants to transfer the known results for rings...
AbstractWe show that ifRis a semiperfect ring with essential left socle andrl(K)=Kfor every small ri...
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. I...
AbstractA ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis...
AbstractIt is shown that certain classes of Bezout domains have stable range 1, and thus are element...
AbstractA module M is said to satisfy the condition (℘∗) if M is a direct sum of a projective module...
An inversive semiring S is called p-regular if for each a E S, there exists some b E S such that a +...
We give a characterization of right Noetherian semiprimesemiperfect and semidistributive rings with ...
Abstract. The purpose of this paper is to introduce two new classes of rings that are closely relate...
The object of this paper is to determine the structure and properties of right subdirectly irreducib...
AbstractIn this paper the structure of right nonsingular semiperfect right CS-rings has been conside...
In this paper we present some results for FDI-rings, i.e. rings with a complete set of pairwise orth...
Dlab V, Ringel CM. Every semiprimary ring is the endomorphism ring of a projective module over a qua...
AbstractIn this paper, we extend various classical results by Armendariz and Steinberg, Fisher, Kapl...
Recall that an f-ring is a lattice-ordered ring in which a Λ b = 0 implies a Λ bc = a Λ cb = 0 whene...
Noncommutative Prfifer rings appear naturally when one wants to transfer the known results for rings...