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• W2153271808 abstract "We introduce a new general construction, denoted by R ⋈ E, called the amalgamated duplication of a ring R along an R-module E, that we assume to be an ideal in some overring of R. (Note that, when E 2 = 0, R ⋈ E coincides with the Nagata's idealization R ⋉ E.). After discussing the main properties of the amalgamated duplication R ⋈ E in relation with pullback-type constructions, we restrict our investigation to the study of R ⋈ E when E is an ideal of R. Special attention is devoted to the ideal-theoretic properties of R ⋈ E and to the topological structure of its prime spectrum." @default.
• W2153271808 created "2016-06-24" @default.
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• W2153271808 date "2007-06-01" @default.
• W2153271808 modified "2023-09-30" @default.
• W2153271808 title "AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES" @default.
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• W2153271808 doi "https://doi.org/10.1142/s0219498807002326" @default.
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