Kaplansky classes
Kappa-Slender Modules
For an arbitrary infinite cardinal , we define classes of -cslender and -tslender modules as well as related classes of -hmodules and initiate a study of these classes.
Kasch bimodules
Kennzeichnung der Klasse eines Ringes endlicher Klasse durch Kommutatormengenprodukte.
Kommutatorbeziehungen in Ringen der Charakteristik 0 mit Einselement und ihren Einheitengruppen
Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.
Koszul duality for N-Koszul algebras
The correspondence between the category of modules over a graded algebra and the category of graded modules over its Yoneda algebra was studied in [8] by means of algebras; this relation is very well understood for Koszul algebras (see for example [5],[6]). It is of interest to look for cases such that there exists a duality generalizing the Koszul situation. In this paper we will study N-Koszul algebras [1], [7], [9] for which such a duality exists.
Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras
We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.
Kulikov's criterion for modules.