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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2011 Volume 11, Issue 2, Pages 1–17 (Mi adm8)

This article is cited in 4 papers

RESEARCH ARTICLE

On primarily multiplication modules over pullback rings

Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani

University of Guilan, Rasht, Iran

Abstract: The purpose of this paper is to present a new approach to the classification of indecomposable primarily multiplication modules with finite-dimensional top over pullback of two Dedekind domains. We extend the definition and results given in [10] to a more general primarily multiplication modules case.

Keywords: Pullback; Separated modules; Non-separated modules; Primarily multiplication modules; Dedekind domains; Pure-injective modules; Prüfer modules.

MSC: 13C05, 13C13, 16D70

Received: 03.10.2010
Revised: 15.03.2011

Language: English



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