Primitive Submodules, Co-semisimple and Regular Modules

Mauricio Medina-Bárcenas; A. Çiğdem Özcan

doi:10.11650/tjm/171102

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Home > Journals > Taiwanese J. Math. > Volume 22 > Issue 3 > Article

June, 2018 Primitive Submodules, Co-semisimple and Regular Modules

Mauricio Medina-Bárcenas, A. Çiğdem Özcan

Taiwanese J. Math. 22(3): 545-565 (June, 2018). DOI: 10.11650/tjm/171102

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Abstract

In this paper, primitive submodules are defined and various properties of them are investigated. Some characterizations of co-semisimple modules are given and several conditions under which co-semisimple and regular modules coincide are discussed.

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Mauricio Medina-Bárcenas. A. Çiğdem Özcan. "Primitive Submodules, Co-semisimple and Regular Modules." Taiwanese J. Math. 22 (3) 545 - 565, June, 2018. https://doi.org/10.11650/tjm/171102

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Received: 27 August 2017; Revised: 20 November 2017; Accepted: 21 November 2017; Published: June, 2018

First available in Project Euclid: 29 November 2017

zbMATH: 06965385

MathSciNet: MR3807325

Digital Object Identifier: 10.11650/tjm/171102

Subjects:

Primary: 16D40 , 16D60 , 16D80 , 16D90 , 16P20

Keywords: Artinian modules , co-semisimple modules , fully bounded modules , primitive right ideals , regular modules and rings

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Taiwanese J. Math.

Vol.22 • No. 3 • June, 2018

Mathematical Society of the Republic of China

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Mauricio Medina-Bárcenas, A. Çiğdem Özcan "Primitive Submodules, Co-semisimple and Regular Modules," Taiwanese Journal of Mathematics, Taiwanese J. Math. 22(3), 545-565, (June, 2018)

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