Jordan counterparts of Rickart and Baer *-algebras, II
Ayupov, Shavkat · Arzikulov, Farhodjon
Operator Algebras
Rings and Algebras
Primary 17C10, 17C27, Secondary 17C20, 17C50, 17C65 Primary 17C10, 17C27, Secondary 17C20, 17C50, 17C65
Original · EN
We introduce and investigate new classes of Jordan algebras which are close to but wider than Rickart and Baer Jordan algebras considered in our previous paper. Such Jordan algebras are called RJ- and BJ-algebras respectively. Criterions are given for a Jordan algebra to be a BJ-algebra. Also, it is proved that every finite dimensional Jordan algebra without nilpotent elements, which have square roots, is a BJ-algebra.
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