Finite conductor rings

@inproceedings{Glaz2000FiniteCR,
  title={Finite conductor rings},
  author={Sarah Glaz},
  year={2000}
}
Trivial Extensions Defined by Coherent-like Conditions
Abstract This paper investigates coherent-like conditions and related properties that a trivial extension R ≔ A ∝ E might inherit from the ring A for some classes of modules E. It captures previous
Some Boundedness Conditions for Rings of Integer-Valued Polynomials
Let R be an integral domain with quotient field K, and let Int(R) be the ring of integer-valued polynomials on R. That is Int(R) = {f ∈ K[X] | f(R) ⊆ R}. It is known that if R is an almost Dedekind
On Weakly Finite Conductor Rings
Abstract We define a weakly finite conductor rings with zero divisors, and examine the transfer of these rings to the trivial ring extensions. These results provide examples of a weakly finite
ALMOST WEAKLY FINITE CONDUCTOR RINGS AND WEAKLY FINITE CONDUCTOR RINGS
Let R be a commutative ring with identity. We call the ring R to be an almost weakly finite conductor if for any two elements a and b in R, there exists a positive integer n such that anR ∩ bnR is
The smallest element of a lattice of ideals in semi-hereditary rings
Abstract Let R be a commutative ring with identity. A ring R is called a semi-hereditary ring if every finitely generated ideal in R is projective. For finitely generated ideals A and B in R, we
K-theory of n-coherent rings
Let [Formula: see text] be a strong [Formula: see text]-coherent ring such that each finitely [Formula: see text]-presented [Formula: see text]-module has finite projective dimension. We consider
Structure theory of p.p. rings and their generalizations
  • A. Tarizadeh
  • Mathematics
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
  • 2021
In this paper, new and significant advances on the understanding the structure of p.p. rings and their generalizations have been made. Specially among them, it is proved that a commutative ring $R$
WHEN EVERY FINITELY GENERATED PRIME PROPER IDEAL IS REGULAR
In this paper we introduce and investigate a class of those rings in which every finitely generated prime proper ideal is regular. We establish the transfer of this notion to the trivial ring
Rings in which every principal ideal is finitely presented
In this paper we introduce and investigate a class of those rings in which every principal ideal is finitely presented. We establish the transfer of this notion to the trivial ring extension, direct
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Erratum : « Sur la compacité du spectre minimal d'un anneau »
© Bulletin de la S. M. F., 1972, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http: //smf.emath.fr/Publications/Bulletin/Presentation.html) implique l’accord
Sur la compacit du spectre minimal d''''un anneau
Immobilizates of acylases (N-acyl-L-amino acid amidohydrolases) are prepared by binding the acylase to a carrier by reacting the acylase with a chemically bound reactive group of a cellulose
A two-dimensional non-Noetherian factorial ring
Let R be a commutative ring with identity and let G be an abelian group of torsion-free rank a. If {Xx} is a set of indeterminates over R of cardinality a, then the group ring of G over R and the
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