Rings with zero intersection property on annihilators: Zip rings.
Carl Faith (1989)
Publicacions Matemàtiques
Similarity:
Zelmanowitz [12] introduced the concept of ring, which we call
Carl Faith (1989)
Publicacions Matemàtiques
Similarity:
Zelmanowitz [12] introduced the concept of ring, which we call
Yue Chi Ming, Roger (1983)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Al-Ezeh, H. (1987)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Yue Chi Ming, R. (2004)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
A. W. Goldie (1967-1968)
Séminaire Dubreil. Algèbre et théorie des nombres
Similarity:
Carl Faith (1989)
Publicacions Matemàtiques
Similarity:
A ring R is (in Vámos' terminology) if every subdirectly irreducible factor ring R/I is self-injective. rings include Noetherian rings, Morita rings and almost maximal valuation rings ([V1]). In [F3] we raised the question of whether a polynomial ring R[x] over a ring R is again . In this paper we show this is not the case.
Carl Faith (1992)
Publicacions Matemàtiques
Similarity:
This paper owes its origins to Pere Menal and his work on Von Neumann Regular (= VNR) rings, especially his work listed in the bibliography on when the tensor product K = A ⊗ B of two algebras over a field k are right self-injective (= SI) or VNR. Pere showed that then A and B both enjoy the same property, SI or VNR, and furthermore that either A and B are algebraic algebras over k (see [M]). This is connected with a lemma in the proof of the , namely a finite ring extension K = k[a,...
Joachim Reineke (1977)
Fundamenta Mathematicae
Similarity:
Carl Faith (1990)
Publicacions Matemàtiques
Similarity:
In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring R is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.