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Some characterisations of supported algebras
Authors:Ibrahim Assem,Juan Á  ngel Cappa
Affiliation:a Département de Mathématiques, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1
b Instituto de Matemática, Universidad Nacional del Sur, 8000 Bahía Blanca, Argentina
c Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Funes 3350, Universidad Nacional de Mar del Plata, 7600 Mar del Plata, Argentina
Abstract:We give several equivalent characterisations of left (and hence, by duality, also of right) supported algebras. These characterisations are in terms of properties of the left and the right parts of the module category, or in terms of the classes L0 and R0 which consist respectively of the predecessors of the projective modules, and of the successors of the injective modules.
Keywords:16G70   16G20   16E10
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