Jurnal Matematika & Sains
Vol 12, No 2 (2007)

Properties of Cohereditary Comodule

Hanni Garminia ( Research Group Algebra, Faculty of Mathematics and Natural Sciences, ITB)
Pudji Astuti ( Research Group Algebra, Faculty of Mathematics and Natural Sciences, ITB)
Irawati Irawati ( Research Group Algebra, Faculty of Mathematics and Natural Sciences, ITB)



Article Info

Publish Date
07 Oct 2009

Abstract

Let R be a commutative ring and C be an R-coalgebra which, as an R-module, is locally projective. This article describes some properties of a cohereditary C-comodule. The properties are derived by exploiting the closed connection between the C*-comodule category and the full subcategory of the C*-module category consisting of all C*-subgenerated C*-modules, where C* is the dual algebra of C.

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