Morita-injektive Moduln über kommutativen Dedekind-Ringen.
Geiss, Keller and Oppermann (2013) introduced the notion of -angulated category, which is a “higher dimensional” analogue of triangulated category, and showed that certain -cluster tilting subcategories of triangulated categories give rise to -angulated categories. We define mutation pairs in -angulated categories and prove that given such a mutation pair, the corresponding quotient category carries a natural -angulated structure. This result generalizes a theorem of Iyama-Yoshino (2008) for...
Let be a graded ring and an integer. We introduce and study -strongly Gorenstein gr-projective, gr-injective and gr-flat modules. Some examples are given to show that -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules need not be -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules whenever . Many properties of the -strongly Gorenstein gr-injective and gr-flat modules are discussed, some known results are generalized. Then we investigate...