Sentence examples for module of finite from inspiring English sources

In particular, our result implies that the curvature invariant of Arveson (Proc. Natl. Acad. Sci. USA96 (1999), 11,096 11,099) of a pure contractive Hilbert module of finite rank is an integer.

Clearly, by Corollary 3.4, a module of finite length has couniserial dimension.

The next proposition gives a condition as to when a module of finite length is semisimple.

In the next proposition we observe that every module of finite couniserial dimension has finite uniform dimension.

Also, the next lemma shows that there exists a module of finite uniform dimension without couniserial dimension.

A right (R -module (M) which has a composition seR -modulealled a Module of finite length.

Let GH be a reductive symmetric space and suppose V is an admissible (g, K -module of finite length possessing a linear functional T ϵ Vsu which is fixed by h and H ∩ K -module

Since these modules are of finite length, we also consider the more general problem of deciding when two given left R-modules of finite length are isomorphic.

Let (M) be an (R -module of finite couniseR -modulensiof.

Let (M) be a right (R -module of finite length.

Let (M) be an injective non-uniform (R -module of finite couniseR -modulensiof.