Open AccessBiderivations and Commuting Linear Maps on Topologically Simple -Algebras
Author(s) -
Abdelaziz Ben Yahya
Publication year - 2021
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2021/9920191
Subject(s) - mathematics , dimension (graph theory) , simple (philosophy) , scalar (mathematics) , discrete mathematics , algebra over a field , combinatorics , pure mathematics , geometry , philosophy , epistemology
Let ℒ be a topologically simple ℒ ∗ -algebra of arbitrary dimension. In this paper, we introduce the notion of semi-inner biderivation in order to prove that every continuous commuting linear mapping on ℒ is a scalar multiple of the identity mapping.
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