The behavior of homological dimensions

Subject Areas : Applied Mathematics

M. Ansari ¹ , E. Hosseini ²

1 - Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.
2 - Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.

Received: 2015-09-28 Accepted : 2015-09-28 Published : 2013-05-01

Keywords: Injective cogenerator, Injective dimension, Flat dimension,

Abstract :

Let R be a commutative noetherian ring. We study the behavior of injectiveand at dimension of R-modules under the functors HomR(-,-) and -×R-.

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