Sur le radical permanent dans les algèbres topologiques
Sur les elements bornants et les ideaux formes d'elements bornants joints dans les algebres bornologiques
Bounding elements and ideals consisting of joint bounding elements were essential tools in the study of permanent singularity in the class of all bornological algebras ([1], [6], [7], [8] and [12]). In this paper we give some important properties of these two notions. Especially, we compare boundings elements with some similar known notions such as bornological divisors of zero and topological divisors of zero. Then we show that these elements can be seen as algebraic divisor of zero in some suitable...
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