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Journal of Algebra and Related Topics
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Volume Volume 1 (2013)
Issue Issue 1
Nikseresht, A., Sharif, H. (2013). Fully primary modules and some variations. Journal of Algebra and Related Topics, 1(1), 1-17.
A. Nikseresht; H. Sharif. "Fully primary modules and some variations". Journal of Algebra and Related Topics, 1, 1, 2013, 1-17.
Nikseresht, A., Sharif, H. (2013). 'Fully primary modules and some variations', Journal of Algebra and Related Topics, 1(1), pp. 1-17.
Nikseresht, A., Sharif, H. Fully primary modules and some variations. Journal of Algebra and Related Topics, 2013; 1(1): 1-17.

Fully primary modules and some variations

Article 1, Volume 1, Issue 1, Autumn 2013, Page 1-17  XML PDF (428 K)
Document Type: Research Paper
Authors
A. Nikseresht ; H. Sharif
Shiraz University
Abstract
Let R be a commutative ring and M be an R-module. We say that M is fully primary, if every proper submodule of M is primary. In this paper, we state some characterizations of fully primary modules. We also give some characterizations of rings over which every module is fully primary, and of those rings over which there exists a faithful fully primary module. Furthermore, we will introduce some variations of fully primary modules and consider similar questions about them.
Keywords
Fully primary module; k; primary submodule; k-primary submodule
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