ANNIHILATOR-SMALL SUBMODULES

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AMOUZEGAR KALATI TAYYEBEH; KESKIN TUTUNCU DERYA

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Journal Paper

Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2013 | Volume:39 | Issue:6 Page(s): 1053-1063

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Information Journal Paper

Title

ANNIHILATOR-SMALL SUBMODULES

Author(s)

AMOUZEGAR KALATI TAYYEBEH | KESKIN TUTUNCU DERYA | Issue Writer Certificate

Keywords

SMALL SUBMODULES

ANNIHILATORS

ANNIHILATOR-SMALL SUBMODULES

Abstract

Let MR be a module with S=End (MR). We call a submodule K of MR annihilator-small if K+T=M, T a submodule of MR, implies that ls (T) =0, where lS indicates the left annihilator of T over S. The sum AR (M) of all such submodules of MR contains the Jacobson radical Rad (M) and the left singular submodule ZS (M). If MR is cyclic, then AR (M) is the unique largest annihilator-small submodule of MR. We study AR (M) and KS (M) in this paper. Conditions when AR (M) is annihilator-small and KS (M) =J (S) =Tot (M; M) are given.

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APA: Copy

AMOUZEGAR KALATI, TAYYEBEH, & KESKIN TUTUNCU, DERYA. (2013). ANNIHILATOR-SMALL SUBMODULES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 39(6), 1053-1063. SID. https://sid.ir/paper/647842/en

Vancouver: Copy

AMOUZEGAR KALATI TAYYEBEH, KESKIN TUTUNCU DERYA. ANNIHILATOR-SMALL SUBMODULES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2013;39(6):1053-1063. Available from: https://sid.ir/paper/647842/en

IEEE: Copy

TAYYEBEH AMOUZEGAR KALATI, and DERYA KESKIN TUTUNCU, “ANNIHILATOR-SMALL SUBMODULES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 39, no. 6, pp. 1053–1063, 2013, [Online]. Available: https://sid.ir/paper/647842/en

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