| Autor: |
Amini, A., Amini, B., Momtahan, E. |
| Předmět: |
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| Zdroj: |
Communications in Algebra; 2024, Vol. 52 Issue 8, p3400-3405, 6p |
| Abstrakt: |
Let G be a sp-group such that for every prime p, Gp is elementary. We show that End Z (G) is a sp-group and every subring R of ∏ End Z (G p) , containing ⊕ End Z (G p) is pure if and only if R = M T = { x ∈ ∏ p ∈ P End (G p) | ∃ k ∈ N such that kx ∈ T } , where T is a subring of ∏ p ∈ P End (G p) . We observe that M T ⊕ p ∈ P End (G p) is (ring) isomorphic with T ⊗ Z Q . Moreover, we conclude that a significant number of the examples around the topic can be easily obtained and described by choosing an appropriate subring T. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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