### Some articles on *module structure, module, modules*:

Hurwitz Quaternion Order -

... The order is also generated by elements and In fact, the order is a free -module over the basis ... Here the generators satisfy the relations which descend to the appropriate relations in the (2,3,7) triangle group, after quotienting by the center ...

**Module Structure**... The order is also generated by elements and In fact, the order is a free -module over the basis ... Here the generators satisfy the relations which descend to the appropriate relations in the (2,3,7) triangle group, after quotienting by the center ...

Definition of Verma Modules

... To define the Verma

... To define the Verma

**module**, we begin by defining some other**modules**, the one-dimensional -vector space (i.e ... whose underlying set is itself) together with a -**module structure**such that acts as multiplication by and the positive root spaces act trivially ... As is a left -**module**, it is consequently a left -**module**...Tensor Product Of Modules - Additional Structure

... general, it does not immediately have an R-

... general, it does not immediately have an R-

**module structure**... is an (S,R)-bimodule, then M⊗RN can be made into a left S-**module**using the obvious operation s(m⊗n)=(sm⊗n) ... if N is an (R,T)-bimodule, then M⊗RN is a right T-**module**using the operation (m⊗n)t=(m⊗nt) ...### Famous quotes containing the word structure:

“If rightly made, a boat would be a sort of amphibious animal, a creature of two elements, related by one half its *structure* to some swift and shapely fish, and by the other to some strong-winged and graceful bird.”

—Henry David Thoreau (1817–1862)

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