Ringe der Charakteristik p und Frobeniusfunktoren.
Ringe mit nur endlich vielen Isomorphieklassen von maximalen, unzerlegbaren Cohen-Macaulay-Moduln.
Ringepimorphismen und Morita-projektive Moduln über kommutativen Dedekind-Ringen.
Rings all of whose additive endomorphisms are left multiplications.
Rings and Partly Ordered Systems.
Rings generalized by tripotents and nilpotents
We present new characterizations of the rings for which every element is a sum of two tripotents and a nilpotent that commute. These extend the results of Z. L. Ying, M. T. Koşan, Y. Zhou (2016) and Y. Zhou (2018).
Rings in Which Pure Ideals are Generated by Idempotents.
Rings of constants of four-variable Lotka-Volterra systems
Lotka-Volterra systems appear in population biology, plasma physics, laser physics and derivation theory, among many others. We determine the rings of constants of four-variable Lotka-Volterra derivations with four parameters C 1, C 2, C 3, C 4 ∈ k, where k is a field of characteristic zero. Thus, we give a full description of polynomial first integrals of the respective systems of differential equations.
Rings of constants of generic 4D Lotka-Volterra systems
We show that the rings of constants of generic four-variable Lotka-Volterra derivations are finitely generated polynomial rings. We explicitly determine these rings, and we give a description of all polynomial first integrals of their corresponding systems of differential equations. Besides, we characterize cofactors of Darboux polynomials of arbitrary four-variable Lotka-Volterra systems. These cofactors are linear forms with coefficients in the set of nonnegative integers. Lotka-Volterra systems...
Rings of differential operators over rational affine curves
Rings of global sections in two-dimensional schemes.
Rings of Hilbert modular forms
Rings of Invariants and Linkage of Determinantal Ideals.
Rings which Are a Factor of a Gorenstein Ring by Its Socle.
Rings whose class of projective modules is socle fine.
Rings Whose Modules Have Nice Decompositions.
Rings with a theory of gretest common divisors.
Rings with an almost Noetherian ring of fractions.
Rings with approximation property.
Rings with divisibility on descending chains of ideals
This paper deals with the rings which satisfy condition. This notion has been introduced recently by R. Dastanpour and A. Ghorbani (2017) as a generalization of Artnian rings. It is of interest to investigate more deeply this class of rings. This study focuses on commutative case. In this vein, we present this work in which we examine the transfer of these rings to the trivial, amalgamation and polynomial ring extensions. We also investigate the relationship between this class of rings and the...