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- W1607457859 abstract "We introduce Krull topological algebras. In particular, we characterize the Krull property in some special classes of topological algebras. Connections with the theory of semisimple annihilator Q 0 -algebras are given. Relative to this, an in- vestigation on the relationship between Krull and (weakly) regular (viz. modular) annihilator algebras is considered. Subalgebras of certain Krull algebras are also pre- sented. Moreover, conditions are supplied under which the Krull (resp. Q 0 -) property is preserved via algebra morphisms. As an application, we show that the quotient of a Krull Q 0 -algebra, modulo a 2-sided ideal, is a topological algebra of the same type. Finally, we study the Krull property in a certain algebra-valued function topological algebra." @default.
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- W1607457859 date "2006-01-01" @default.
- W1607457859 modified "2023-09-24" @default.
- W1607457859 title "On the Krull property in topological algebras" @default.
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