Classifying E-algebras over Dedekind domains

R. Göbel; B. Goldsmith

doi:10.1016/j.jalgebra.2006.01.036

Classifying E-algebras over Dedekind domains

R. Göbel, B. Goldsmith

Research output: Contribution to journal › Article › peer-review

Abstract

An R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra End_R (A). Generalized E-algebras have been extensively investigated. In this work they are classified 'modulo cotorsion-free modules' when the underlying ring R is a Dedekind domain.

Original language	English
Pages (from-to)	566-575
Number of pages	10
Journal	Journal of Algebra
Volume	306
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2006.01.036
Publication status	Published - 15 Dec 2006
Externally published	Yes

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title = "Classifying E-algebras over Dedekind domains",

abstract = "An R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra EndR (A). Generalized E-algebras have been extensively investigated. In this work they are classified 'modulo cotorsion-free modules' when the underlying ring R is a Dedekind domain.",

author = "R. G{\"o}bel and B. Goldsmith",

year = "2006",

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AB - An R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra EndR (A). Generalized E-algebras have been extensively investigated. In this work they are classified 'modulo cotorsion-free modules' when the underlying ring R is a Dedekind domain.

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DO - 10.1016/j.jalgebra.2006.01.036

M3 - Article

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SN - 0021-8693

VL - 306

SP - 566

EP - 575

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

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Classifying E-algebras over Dedekind domains

Abstract

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