## Annihilator topological algebras.(English)Zbl 0806.46051

Summary: We study annihilator topological algebras, not necessarily Banach or even locally convex ones, along with their structure theory. We also refer to $$(D)$$-algebras, a convenient variant for $$Q$$-algebras. In fact, for semisimple annihilator algebras, $$(D)$$ and $$Q'$$-algebras coincide. Topological algebras with proper closed ideals having non-zero annihilators are also considered.

### MSC:

 46H05 General theory of topological algebras 46H10 Ideals and subalgebras 46H20 Structure, classification of topological algebras
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