On non-unital locally pseudoconvex Q-algebras.

Some equivalent conditions for a topological algebra to be a Q-algebra have been studied by several researchers. They have studied Q-algebras, mainly for unital topological algebras. In this paper some equivalent conditions are studied to be a Q-algebra for non-unital locally pseudoconvex algebras, locally A-pseudoconvex algebras and locally m-pseudoconvex algebras. [ABSTRACT FROM AUTHOR]

Mõned teadlased on uurinud topoloogiliste algebrate jaoks ekvivalentseid tingimusi Q-algebraks olekuga. Eelkõige on nad uurinud, mis juhtub, kui topoloogiline algebra on ühikuga. Käesolevas artiklis on Qalgebraks olekuga ekvivalentsed tingimused saadud juhul, kui topoloogiline algebra ei ole ühikuga ja kuulub ühte järgmistest klassidest: lokaalselt pseudokumerad algebrad, lokaalselt A-pseudokumerad algebrad või lokaalselt m-pseudokumerad algebrad. [ABSTRACT FROM AUTHOR]

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