Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 33, No. 2, pp. 165-173 (2017)

I-prime submodules

Ismael Akray and Halgurd S. Hussein

Soran University

Abstract: We introduce a new generalization of prime submodules called I-prime submodule for I a fixed ideal of a commutative ring R. We study some of its properties and show that the intersection of I-prime submodules is again I-prime.

Keywords: I-Prime ideal, prime submodule, flat module and faithfully flat module

Classification (MSC2000): 13A15; 13C99, 13F05

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