1. Projective modules and prime submodules
- Creator:
- Alkan, Mustafa and Tiras, Yücel
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- prime submodule, primary submodule, ${\scr S}$-closed subsets, and the radical formula
- Language:
- English
- Description:
- In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed subsets for the following two topics: (i) The existence of prime submodules in some cases, (ii) The proof that submodules with a certain property satisfy the radical formula. We also give a partial characterization of a submodule of a projective module which satisfies the prime property.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public