Traces of Maximal Ideals of Topological Algebras in Their Subalgebras

Authors : Mart Abel, Mati Abel

Pages : 79-88

View : 13 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) ideal of A such that the trace M \cap B of M is a proper subset of B. In cases, when B is a Gelfand-Mazur subalgebra of A or a subalgebra of the centre Z(A) of A, such classes of topological algebras in which M \cap B (in the subset topology) is a closed maximal regular left (respectively, right or two-sided) ideal of B, are described.
Keywords : Topological algebras, Gelfand-Mazur algebras, locally pseudoconvex algebras, galbed algebras, traces of ideals in subalgebras