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ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER <i>CQ</i><sup>&#8727;</sup>-ALGEBRAS
Author(s) -
Choonkil Park,
Jung Rye Lee,
Dong Yun Shin
Publication year - 2015
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2015050
Subject(s) - homomorphism , mathematics , physics , lie algebra , pure mathematics , algebra over a field , combinatorics
In this paper, we investigate homomorphisms in proper CQ-algebras, proper Lie CQ-algebras and proper Jordan CQ-algebras and deriva-tions on proper CQ-algebras, proper Lie CQ-algebras and proper JordanCQ-algebras associated with the Cauchy-Jensen functional equation2f(x + y2+ z)= f(x) + f(y) + 2f(z);which was introduced and investigated in [3, 28].Furthermore, Isometries and isometric isomorphisms in proper CQ-algebrasare studied.

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