AGQP-Injective Modules

Zhanmin Zhu and Xiaoxiang Zhang

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-7

Abstract:

Let ð ‘… be a ring and let ð ‘€ be a right ð ‘… -module with 𠑆 = End( ð ‘€ ð ‘… ). ð ‘€ is called almost general quasi-principally injective (or AGQP-injective for short) if, for any 0 â‰ ð ‘ âˆˆ 𠑆 , there exist a positive integer ð ‘› and a left ideal ð ‘‹ ð ‘ ð ‘› of 𠑆 such that ð ‘ ð ‘› ≠0 and ð ¥ ð ‘† ( K e r ( ð ‘ ð ‘› ) ) = 𠑆 ð ‘ ð ‘› ⊕ ð ‘‹ ð ‘ ð ‘› . Some characterizations and properties of AGQP-injective modules are given, and some properties of AGQP-injective modules with additional conditions are studied.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:469725

DOI: 10.1155/2008/469725

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