### Some articles on *injective hulls, injective hull, injective*:

Injective Module - Theory -

... The

**Injective Hulls**... The

**injective hull**of a module is the smallest**injective**module containing the given one and was described in (Eckmann Shopf 1953) ... One can use**injective hulls**to define a minimal**injective**resolution (see below) ... If each term of the**injective**resolution is the**injective hull**of the cokernel of the previous map, then the**injective**resolution has minimal length ...Injective Hull - Properties - Ring Structure

... In some cases, for R a subring of a self-

... In some cases, for R a subring of a self-

**injective**ring S, the**injective hull**of R will also have a ring structure ... any ring containing every matrix which is zero in all but the last column, the**injective hull**of the right R-module R is S ... However, it is not always the case that the**injective hull**of a ring has a ring structure, as an example in (Osofsky 1964) shows ...### Famous quotes containing the word hulls:

“To anybody who can hold the Present at its worth without being inappreciative of the Past, it may be forgiven, if to such an one the solitary old hulk at Portsmouth, Nelson’s Victory, seems to float there, not alone as the decaying monument of a fame incorruptible, but also as a poetic approach, softened by its picturesqueness, to the Monitors and yet mightier *hulls* of the European ironclads.”

—Herman Melville (1819–1891)

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