Right pure semisimple -hereditary -rings
Daniel Simson (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Daniel Simson (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Daniel Simson (1991)
Fundamenta Mathematicae
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Daniel Simson (1991)
Fundamenta Mathematicae
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Enrico Gregorio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Ibrahim Assem, Dan Zacharia (1999)
Colloquium Mathematicae
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Let R be a split extension of an artin algebra A by a nilpotent bimodule , and let M be an indecomposable non-projective A-module. We show that the almost split sequences ending with M in mod A and mod R coincide if and only if = 0 and .
D. N. Dikranjan, E. Gregorio, A. Orsatti (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Enrico Gregorio (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Bertha Tomé (1995)
Fundamenta Mathematicae
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Let Λ be a finite-dimensional, basic and connected algebra over an algebraically closed field, and mod Λ be the category of finitely generated right Λ-modules. We say that Λ has acceptable projectives if the indecomposable projective Λ-modules lie either in a preprojective component without injective modules or in a standard coil, and the standard coils containing projectives are ordered. We prove that for such an algebra Λ the following conditions are equivalent: (a) Λ is tame, (b)...
Rump, Wolfgang (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Ole Enge (2000)
Colloquium Mathematicae
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We show that a quasitilted algebra has a preprojective component. This is proved by giving an algorithmic criterion for the existence of preprojective components.