JP Journal of Algebra, Number Theory and Applications
Volume 9, Issue 1, Pages 113 - 128
(October 2007)
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ON H-SEPARABLE EXTENSIONS OF CONOETHERIAN (COARTINIAN) RINGS
Djiby Sow (S鮩gal)
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Abstract: First, we characterize separable (resp: H-separable) ring extensions by properties on the endomorphism ring
viewed as an
-bimodule. On the second hand, using results on separability, we check conditions on a ring extension for which, conoetherian or coartinian property on B are transferred on A and conversely. We prove that, if is an H-separable ring extension such that then B is conoetherian (resp: coartinian) if and only if A is conoetherian (resp: coartinian). |
Keywords and phrases: conoetherian, coartinian, H-separable (separable) extension, Morita equivalence, injective, projective, generator, normalizing, centralizing. |
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