We consider strictly irreducible representations with which the discontinuity of a derivation on a (locally multiplicatively convex) Fréchet algebra must be associated. Only those strictly irreducible representations which are compatible with the topology of the algebra are considered. The main results show that when consideration is fixed upon each seminorm, the exceptional set of primitive ideals supporting the discontinuity must be a finite set, with each ideal being the kernel of some finite-dimensional i…
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