منابع مشابه
Perfect Category-graded Algebras
In a perfect category every object has a minimal projective resolution. We give a sufficient condition for the category of modules over a category-graded algebra to be perfect. AMS Subject Classification (2000): 18E15, 16W50. In [6] the second author explored homological properties of algebras graded over a small category. Our interest in these algebras arose from our research on the homologica...
متن کاملSemi-perfect Category-graded Algebras
We introduce the notion of algebras graded over a small category and give a criterion for such algebras to be semi-perfect. AMS Subject Classification (2000): 18E15,16W50.
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We introduce perfect resolving algebras and study their fundamental properties. These algebras are basic for our theory of differential graded schemes, as they give rise to affine differential graded schemes. We also introduce étale morphisms. The purpose for studying these, is that they will be used to glue differential graded schemes from affine ones with respect to an étale topology.
متن کاملPerfect Derived Categories of Positively Graded DG Algebras
We investigate the perfect derived category dgPer(A) of a positively graded differential graded (dg) algebra A whose degree zero part is a dg subalgebra and semisimple as a ring. We introduce an equivalent subcategory of dgPer(A) whose objects are easy to describe, define a t-structure on dgPer(A) and study its heart. We show that dgPer(A) is a Krull-RemakSchmidt category and consider the case ...
متن کاملGeneralized Weyl algebras: category O and graded Morita equivalence
We define an analogue of BGG category O for generalized Weyl algebras. We prove several properties that show that even when the dimension of the ground ring is greater than one, the (graded) representation theory still has the flavor of the infinite dimensional representation theory of semisimple lie algebras. We then apply these results to the strong graded Morita problem for GWAs and give a c...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2012
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2010.526160