Title of article
On the Amalgamated Duplication of an Unitary Normed Algebra Along an Ideal
Author/Authors
Dadras، Sara نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University Tehran, Iran , , Jafarian، Mahsa نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University Tehran, Iran ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
6
From page
75
To page
80
Abstract
In this paper, based on an amalgamated duplication of a ring along an ideal, we will construct the amalgamated duplication of an unitary normed algebra X along its proper ideal I (i.e. X ?I). Then we will discus about its Banach conditions and abstract properties. Mainly we have proven that if X ba a Banach algebra and I be its closed ideal then X ?I will be Banach algebra too. As well, we have shown that its completion and ideals based on original normed algebra X. Finally some more aspects to expend these results for generalized normed algebras are given.
Journal title
The Journal of Mathematics and Computer Science(JMCS)
Serial Year
2014
Journal title
The Journal of Mathematics and Computer Science(JMCS)
Record number
1756014
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