Displaying similar documents to “Conditionally complete and conditionally orthogonally complete rings”

Extension of semiclean rings

Chahrazade Bakkari, Mohamed Es-Saidi, Najib Mahdou, Moutu Abdou Salam Moutui (2022)

Czechoslovak Mathematical Journal

Similarity:

This paper aims at the study of the notions of periodic, UU and semiclean properties in various context of commutative rings such as trivial ring extensions, amalgamations and pullbacks. The results obtained provide new original classes of rings subject to various ring theoretic properties.

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.