Skew polynomial rings satisfying - property.

Zelmanowitz [12] introduced the concept of ring, which we call right zip rings, with the defining properties below, which are equivalent: (ZIP 1) If the right anihilator X^⊥ of a subset X of R is zero, then X₁ ^⊥ = 0 for a finite subset X₁ ⊆ X. (ZIP 2) If L is a left ideal and if L^⊥ = 0, then L₁ ...

Subrings of I-rings and S-rings.

Sanghare, Mamadou (1997)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Multiplicities of ideals in Noetherian rings.

Miller, Ezra (1998)

Beiträge zur Algebra und Geometrie

Similarity:

The Armendariz module and its application to the Ikeda-Nakayama module.

Koşan, M.Tamer (2006)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Embedding torsionless modules in projectives.

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.

Displaying similar documents to “Skew polynomial rings satisfying r - B n d property.”

Displaying similar documents to “Skew polynomial rings satisfying $r$ - $B n d$ property.”