Areas of Expertise (3)
University of Kentucky: Ph.D., Mathematics 2005
University of Bucharest: B.A., Mathematics 1992
Gorenstein projective and flat complexes over noetherian ringsMathematische Nachrichten
E Enochs, Sergio Estrada, Alina Iacob
2012 We give sufficient conditions on a class of R‐modules article amssymb empty C in order for the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC, to be covering in the category of complexes of R‐modules. More precisely, we prove that if article amssymb empty C is precovering in R− Mod and if article amssymb empty C is closed under direct limits, direct products, and extensions, then the class article amssymb empty dwC is covering in Ch (R). Our first application concerns the class of Gorenstein flat modules...
Absolute, Gorenstein, and Tate Torsion ModulesCommunications in Algebra
2007 We show that there is an Avramov–Martsinkovsky type exact sequence with , Gtor, and Tor. We prove that if R is a Gorenstein ring, then the modules , n ≥ 1 can be computed using either a complete resolution of MR or using a complete resolution of RN. We show that over a Gorenstein ring a left R-module N is Gorenstein flat if and only if...
Closure under transfinite extensionsIllinois Journal of Mathematics
Edgar E. Enochs, Alina Iacob, and Overtoun M. G. Jenda
2007 The closure under extensions of a class of objects in an abelian category is often an important property of that class. Recently the closure of such classes under transfinite extensions (both direct and inverse) has begun to play an important role in several areas of mathematics, for example, in Quillen's theory of model categories and in the theory of cotorsion pairs. In this paper we prove that several important classes are closed under transfinite extensions...