| Autor: |
Mozaffarikhah, A., Momtahan, E., Olfati, A. R., Safaeeyan, S. |
| Předmět: |
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| Zdroj: |
Journal of Algebra & Its Applications; Apr2020, Vol. 19 Issue 04, p2050078-1-2050078-22, 22p |
| Abstrakt: |
In this paper, we introduce the concept of p-semisimple modules. We prove that a multiplication reduced module is p-semisimple if and only if it is a Baer module. We show that a large family of abelian groups are p-semisimple. Furthermore, we give a topological characterizations of type submodules (ideals) of multiplication reduced modules (J-semisimple rings). Moreover, we observe that there is a one-to-one correspondence between type ideals of some algebraic structures on one hand and regular closed subsets of some related topological spaces on the other hand. This also characterizes the form of closed ideals in C(X). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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