Generalized T-extensions in Locally Compact Abelian Groups

Author(s):

A. A. Alijani

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

Let £ be the category of all locally compact abelian (LCA) groups. Let G ∈ £ and H ⊆ G. The maximal torsion subgroup of G is denoted by tG and the closure of H by H. A proper short exact sequence 0 → A ϕ→ B ψ→ C → 0 in £ is said to be a generalized textension if 0 → tA ϕ→ tB ψ→ tC → 0 is a proper short exact sequence. We show that the set of all generalized t-extensions of a torsion group A ∈ £ by a compact group C ∈ £ is a subgroup of Ext(C, A). We establish conditions under which the generalized t-extensions split.

Keywords:

: Generalized t-extensions , t-extensions , locally compact abelian groups

Language:
English
Published:
Journal of Mathematical Extension, Volume:15 Issue: 2, Spring 2021
Page:
9
https://www.magiran.com/p2262618  
سامانه نویسندگان
  • Aliakbar Alijani
    Author
    .Ph.D Department of Mathematics, University of Guilan, Rasht, Iran
    Alijani، Aliakbar
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