Title : ( Hereditary subalgebras of a JB-algebra and the Jordan Pedersen ideal )
Authors: Ramin Faal , Shirin Hejazian ,
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Abstract
We study (not necessarily closed) hereditary subalgebras of a JB-algebra. It is proved that in every JB-algebra A there exists a minimal hereditary dense ideal which is called the Jordan Pedersen ideal. If A is a JC-algebra the Jordan Pedersen ideal is minimal among all dense ideals. The hereditary properties of the Jordan Pedersen ideal are also studied.
Keywords
, JB-algebra, Hereditary subalgebra, Hereditary ideal, Jordan Pedersen ideal
@article{paperid:1093425,
author = {Faal, Ramin and Hejazian, Shirin},
title = {Hereditary subalgebras of a JB-algebra and the Jordan Pedersen ideal},
journal = {Journal of Mathematical Analysis and Applications},
year = {2023},
volume = {523},
number = {2},
month = {July},
issn = {0022-247X},
pages = {127031--15},
numpages = {-127016},
keywords = {JB-algebra; Hereditary subalgebra; Hereditary ideal; Jordan Pedersen ideal},
}
%0 Journal Article
%T Hereditary subalgebras of a JB-algebra and the Jordan Pedersen ideal
%A Faal, Ramin
%A Hejazian, Shirin
%J Journal of Mathematical Analysis and Applications
%@ 0022-247X
%D 2023
