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2012•Thai Journal of MathematicsOpen access

Annihilator Conditions Relative to a Class of Modules

Zhou De-xu, Demei Li, Lili Guo

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Abstract

Annihilator conditions relative to a class of modules are studied and used to characterize the relative extending modules. In particular, dual rings relative to the class of all small right ideals, called right small-dual rings, are investigated and some known results on the dual rings are generalized to the case of small-dual rings.

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Annihilator conditions relative to a class of modules are studied and used to characterize the relative extending modules. In particular, dual rings relative to the class of all small right ideals, called right small-dual rings, are investigated and some known results on the dual rings are generalized to the case of small-dual rings.

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Available abstract

Annihilator conditions relative to a class of modules are studied and used to characterize the relative extending modules. In particular, dual rings relative to the class of all small right ideals, called right small-dual rings, are investigated and some known results on the dual rings are generalized to the case of small-dual rings.

Key concepts: Annihilator, Mathematics, Dual (grammatical number), Class (philosophy), Pure mathematics, Algebra over a field, Computer science, Literature

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