Abstract
The concepfe of a vector space category over an algebraically closed field and a subspace category were introduced by Nazarova and Rojter [9] in a connection with the second Brauer-Thrall conjecture. In [11, 12] Ringel presents a nice categorical explanation of these concepts and of their use. In the present note we want to give a brief introduction to the socle projective modules technique in the study of vector space categories and indecomposable modules over artinian rings. This approach was introduced in [15, 18] as a generalization of the Gabriel’s I-spaces technique [5] and of the Coxeter type arguments by Drozd [4]applied to matrix representations of posets introduced by Nazarova and Rojter in [8].
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© 1984 Springer-Verlag Wien
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Simson, D. (1984). A Module-Theoretical Approach to Vector Space Categories. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_36
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DOI: https://doi.org/10.1007/978-3-7091-2814-5_36
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