Some remarks on injective envelopes

Injective Envelopes of Banach Spaces

Injective Envelopes and (Gorenstein) Flat Covers

In terms of the duality property of injective preenvelopes and flat precovers, we get an equivalent characterization of left Noetherian rings. For a left and right Noetherian ring R, we prove that the flat dimension of the injective envelope of any (Gorenstein) flat left R-module is at most the flat dimension of the injective envelope of RR. Then we get that the injective envelope of RR is (Gor...

Injective Envelopes of Separable C * -algebras

Characterisations of those separable C∗-algebras that have type I injective envelopes or W∗-algebra injective envelopes are presented. An operator system I is injective if for every inclusion E ⊂ F of operator systems each completely positive linear map ω : E → I has a completely positive extension to F . An injective envelope of an operator system E is an injective operator system I such that ...

Injective Envelopes and Projective Covers of Quivers

This paper characterizes the injective and projective objects in the category of directed multigraphs, or quivers. Further, the injective envelope and projective cover of any quiver in this category is constructed.

Some Remarks on Roeper’s Remarks on Chomsky’s ‘Remarks’

In his 1970 paper ‘Remarks on nominalization’, Noam Chomsky provided several arguments for the lexicalist hypothesis, namely the idea that nouns like refusal, rejection, growth, and so on are nouns throughout the entire syntactic derivation. Tom Roeper’s paper ‘Chomsky’s Remarks and the transformationalist hypothesis’ challenges the lexicalist hypothesis, arguing that such nouns are syntactical...