Characterizations of projective and -projective semimodules.
Characterizations of Semi-Perfect and Perfect Modules.
Characterizations of semiperfect and perfect rings.
We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.
Characterizing rings by their modules
Charakerisierung der lokalbeschränkten Ringtopologien auf globalen Körpern.
Charakterisierungen der primitiven Klassen arithmetischer Ringe.
Classes d'idéaux de l'algèbre d'un groupe abélien
Classes of Modules.
Classes of modules related to Serre subcategories.
Classical quotient rings of generalized matrix rings.
Classification of 4-dimensional nilpotent complex Leibniz algebras.
Classification of Bass orders.
Classification of discrete derived categories
The main aim of the paper is to classify the discrete derived categories of bounded complexes of modules over finite dimensional algebras.
Classification of finite rings: theory and algorithm
An interesting topic in the ring theory is the classification of finite rings. Although rings of certain orders have already been classified, a full description of all rings of a given order remains unknown. The purpose of this paper is to classify all finite rings (up to isomorphism) of a given order. In doing so, we introduce a new concept of quasi basis for certain type of modules, which is a useful computational tool for dealing with finite rings. Then, using this concept, we give structure...
Classification of ideals of -dimensional Radford Hopf algebra
Let be the -dimensional Radford Hopf algebra over an algebraically closed field of characteristic zero. We give the classification of all ideals of -dimensional Radford Hopf algebra by generators.
Classification of low-dimensional orbit closures in varieties of quiver representations
We classify the affine varieties of dimension at most 4 which occur as orbit closures with an invariant point in varieties of representations of quivers. Moreover, we show that they are normal and Cohen-Macaulay.
Classification of rings satisfying some constraints on subsets
Let be an associative ring with identity and the Jacobson radical of . Suppose that is a fixed positive integer and an -torsion-free ring with . In the present paper, it is shown that is commutative if satisfies both the conditions (i) for all and (ii) , for all . This result is also valid if (ii) is replaced by (ii)’ , for all . Our results generalize many well-known commutativity theorems (cf. [1], [2], [3], [4], [5], [6], [9], [10], [11] and [14]).
Classification of the completely primary totally ramified orders of finite lattice type.
Classification of the simple modules of the quantum Weyl algebra and the quantum plane
Classifying bicrossed products of two Sweedler's Hopf algebras
We continue the study started recently by Agore, Bontea and Militaru in “Classifying bicrossed products of Hopf algebras” (2014), by describing and classifying all Hopf algebras that factorize through two Sweedler’s Hopf algebras. Equivalently, we classify all bicrossed products . There are three steps in our approach. First, we explicitly describe the set of all matched pairs by proving that, with the exception of the trivial pair, this set is parameterized by the ground field . Then, for...