Ideal Submodules Versus Ternary Ideals Versus Linking Ideals

We show that ideal submodules and closed ternary ideals in Hilbert modules are the same. use this insight as a little peg on which to hang note about interrelations with other notions regarding modules. In Section 3, we (and equivalent notions) merit fully, terms of homomorphisms quotients, be called (not necessarily full) The properties checked intrinsically formulated for (without any reference algebra over they modules) their structure. proofs, instead, motivated from third notion, linking (Section 2), Theorem 3) all extends nicely (reduced) algebras. As an application, 4, introduce extensions prove most basic (some new even known notion modules), by reducing proof well-known analogue theorems C?–algebras. Finally, 5, propose several open problems our method naturally suggests.