On chains of free modules over valuation domains
Radoslav M. Dimitrić (1987)
Czechoslovak Mathematical Journal
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Radoslav M. Dimitrić (1987)
Czechoslovak Mathematical Journal
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Luigi Salce (1989)
Commentationes Mathematicae Universitatis Carolinae
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Wolfson, Kenneth G. (1990)
Portugaliae mathematica
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R. Göbel, B. Goldsmith (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Kenneth G. Wolfson (1989)
Mathematische Zeitschrift
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John D. O'Neill (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Osman Avcıoglu, Ibrahim Ilker Akça (2017)
Topological Algebra and its Applications
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In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ᴼ⋉ N by using the semidirect product M ⋉ N of M and N via μ. Finally we construct an isomorphism betweenM ᴼ* N and M ᴼ⋉ N.