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Turkish Journal of Mathematics

Pseudo PQ-injective modules

Zhanmin ZHU
Department of Mathematics,
Jiaxing University, Jiaxing,
Zhejiang Province, 314001, P.R. CHINA
e-mail: zhanminzhu@hotmail.com

Abstract: A module MR is called Pseudo PQ-injective (or PPQ-injective for short) if every monomorphism from a principal submodule of M to M extends to an endomorphism of M. Some characterizations and properties of this class of modules are investigated, PPQ-injective modules with some additional conditions are studied, semisimple artinian rings are characterized by PPQ-injective modules.

Key Words: PPQ- injective modules; Endomorphism rings; Strongly Kasch modules; semisimple artinian rings; perfect rings

Turk. J. Math., 35, (2011), 391-398.
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Other articles published in the same issue: Turk. J. Math.,vol.35,iss.3.