A splitting theorem for multipeak path algebras
Daniel Simson (1991)
Fundamenta Mathematicae
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Daniel Simson (1991)
Fundamenta Mathematicae
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D. N. Dikranjan, E. Gregorio, A. Orsatti (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Bogumiła Klemp, Daniel Simson (1990)
Fundamenta Mathematicae
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Piotr Dowbor (2000)
Colloquium Mathematicae
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Given a group G of k-linear automorphisms of a locally bounded k-category R it is proved that the endomorphism algebra of a G-atom B is a local semiprimary ring (Theorem 2.9); consequently, the injective -module is indecomposable (Corollary 3.1) and the socle of the tensor product functor is simple (Theorem 4.4). The problem when the Galois covering reduction to stabilizers with respect to a set U of periodic G-atoms (defined by the functors and )is full (resp. strictly full)...
Simion Breaz (2005)
Czechoslovak Mathematical Journal
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We consider the quotient categories of two categories of modules relative to the Serre classes of modules which are bounded as abelian groups and we prove a Morita type theorem for some equivalences between these quotient categories.
Kalathoor Varadarajan (1992)
Publicacions Matemàtiques
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The aim of the present paper is to study Hopfian and Co-Hopfian objects in categories like the category of rings, the module categories A-mod and mod-A for any ring A. Using Stone's representation theorem any Boolean ring can be regarded as the ring A of clopen subsets of compact Hausdorff totally disconnected space X. It turns out that the Boolean ring A will be Hopfian (resp. co-Hopfian) if and only if the space X is co-Hopfian (resp. Hopfian) in the category . For any compact Hausdorff...
Raymundo Bautista, Yuriy Drozd, Xiangyong Zeng, Yingbo Zhang (2007)
Open Mathematics
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Let Λ be a finite dimensional algebra over an algebraically closed field k and Λ has tame representation type. In this paper, the structure of Hom-spaces of all pairs of indecomposable Λ-modules having dimension smaller than or equal to a fixed natural number is described, and their dimensions are calculated in terms of a finite number of finitely generated Λ-modules and generic Λ-modules. In particular, such spaces are essentially controlled by those of the corresponding generic modules. ...
Rump, Wolfgang (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Sonia Dal Pio, Adalberto Orsatti (1994)
Rendiconti del Seminario Matematico della Università di Padova
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