In this note we study modules with (WC₁₁⁺) property. We prove that if M satisfies (WC₁₁⁺) and M/(SocM) has finite uniform dimension then M = M₁ ⨁ M₂ where M₁ is semisimple and M₂ with finite uniform ...
We establish the essential normality of a large new class of homogeneous submodules of the finite rank d-shift Hilbert module. The main idea is a notion of essential decomposability that determines ...
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