Displaying similar documents to “Essential Cover and Closure”

Prüfer rings with involution

Ismail M. Idris (2003)

Czechoslovak Mathematical Journal

Similarity:

The concept of a Prüfer ring is studied in the case of rings with involution such that it coincides with the corresponding notion in the case of commutative rings.

Equations for the set of overrings of normal rings and related ring extensions

Mabrouk Ben Nasr, Ali Jaballah (2023)

Czechoslovak Mathematical Journal

Similarity:

We establish several finiteness characterizations and equations for the cardinality and the length of the set of overrings of rings with nontrivial zero divisors and integrally closed in their total ring of fractions. Similar properties are also obtained for related extensions of commutative rings that are not necessarily integral domains. Numerical characterizations are obtained for rings with some finiteness conditions afterwards.

Zero-Dimensionality and Serre Rings

Karim, D. (2004)

Serdica Mathematical Journal

Similarity:

2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05. This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union of Artinian subrings.