Main Article Content
Graded Matlis Duality and Applications to Covers
Abstract
We study homological properties of graded Matlis duality
and apply them to get covers by Gorenstein gr-projective modules. We show that
these covers are minimal graded maximal Cohen-Macaulay approximations in some
cases.
Mathematics Subject Classification (2000): Primary: 16D90; Secondary:
18G25.
Keywords: graded Matlis duality, covers, Gorenstein gr-projective module,
module categories, relative homological algebra, projective classes, study,
duality, cover, modules, module, approximation
Quaestiones Mathematicaes 24 (4) 2001, 555–564
and apply them to get covers by Gorenstein gr-projective modules. We show that
these covers are minimal graded maximal Cohen-Macaulay approximations in some
cases.
Mathematics Subject Classification (2000): Primary: 16D90; Secondary:
18G25.
Keywords: graded Matlis duality, covers, Gorenstein gr-projective module,
module categories, relative homological algebra, projective classes, study,
duality, cover, modules, module, approximation
Quaestiones Mathematicaes 24 (4) 2001, 555–564
