Modules with respect to cyclic purity

• Autores: Lixin Mao
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 108, Nº 2, 2011, págs. 177-197
• Idioma: inglés
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• Resumen

  • An exact sequence 0→A→B→C→0 of left R-modules is called cyclically pure if for every right ideal I of R, the sequence 0→(R/I)⊗A→(R/I)⊗B→(R/I)⊗C→0 is exact. In this paper, we study some special modules with respect to cyclic purity, such as CP-projective, CP-injective and CP-flat modules.