A characterization of the jacobson radical in ternary algebras
Proceedings of the American Mathematical Society
The Jacobson radical Rad T for a ternary algebra T is characterized as one of the following: (i) the set of properly quasi-invertible elements in T; (ii) the set of xe T such that the principal right ideal (xTT) or left ideal (TTx) is quasi-regular in T; (iii) the unique maximal quasi-regular ideal in T; (iv) the set of T such that Rad T(x) = T(x). We also obtain ternary algebraanalogs of characterization of the radicals of certain subalgebras in an associative algebra. © 1973 American Mathematical Society.
Original Publication Date
DOI of published version
Myung, Hyo Chul, "A characterization of the jacobson radical in ternary algebras" (1973). Faculty Publications. 5122.