Sheaves on manifolds are perfectly suited to treat local problems, but many spaces one naturally encounters, especially in Analysis, are not of local nature. The subanalytic topology (in the sense of Grothendieck) on real analytic manifolds allows one to partially overcome this …
In this monograph, we extend S. Schwede's exact sequence interpretation of the Gerstenhaber bracket in Hochschild cohomology to certain exact and monoidal categories. Therefore we establish an explicit description of an isomorphism by A. Neeman and V. Retakh, which links Ext-gro…
Krull dimension
by Gordon, Robert, Robson, J. C.
fromMemoirs of the American Mathematical Society
This memoir is devoted to the study of Krull dimensions of modules over (not necessarily commutative) rings with identity. Although not all modules have a Krull dimension, Noetherian modules always do. There has been much interest in the Krull dimension of noncommutative Noether…
![Affine representations of Grothendieck groups and applications to Rickart C*-algebras and [Hebrew aleph]-continuous regular rings](https://covers.openlibrary.org/b/isbn/9780821822340-M.jpg?default=false)
![Affine representations of Grothendieck groups and applications to Rickart C*-algebras and [Hebrew aleph]-continuous regular rings](https://covers.openlibrary.org/b/isbn/9781470406387-M.jpg?default=false)
![Affine representations of Grothendieck groups and applications to Rickart C*-algebras and [Hebrew]Aleph₀-continuous regular rings](https://covers.openlibrary.org/b/isbn/0821822349-M.jpg?default=false)
This paper is concerned with the structure of three interrelated classes of objects: partially ordered abelian groups with countable interpolation, [Hebrew]Aleph₀-continuous regular rings, and finite Rickart C*-algebras. The connection from these rings and algebras to these grou…