Sentence examples for a module over from inspiring English sources

Assume that M is a module over a ring (R = oplus _k R_k ).

The Hardy spaces H2(D2) can be conveniently viewed as a module over the polynomial ring C[z1,z2].

This is modeled on the de Rham resolution of a connection on a module over an algebra.

A Hilbert module over a planar algebra P is essentially a Hilbert module over a canonically defined algebra spanned by the annular tangles in P. It follows that any planar algebra Q containing P is a module over P, and in particular, any subfactor planar algebra is a module over the Temperley Lieb planar algebra with the same modulus.

This categorical description encompasses all reasonable definitions of modules; in particular, that of a group representation and that of a module over a Lie algebra.

right} end{aligned}becomes a module over the ring (mathbb {D}) which is called (mathbb {D}) Module, under addition and scalar multiplication on (mathbb {D}) [14].

We apply the above results to produce an example of a contractive module over A(B2), which is not completely contractive.

The action of a torus on a graded module over a polynomial ring extends to the entire minimal free resolution of the module.

Let (M_R) be an injective module and (N_R) be a cancellable module over a commmutative ring (R) (for example a simple module) such that (N oplus M) has couniserial dimension.

Q L (a) is a free module over L with rank 4.

The CD-lemma for modules is the CD-lemma for the doubly free module Mod k ⟨ Y ⟩ ( X ), a free module over a free associative algebra.