It is the goal of the memoir to develop a functorial transfer of properties between [italic capital]A and [script capital]M[subscript italic capital]E, the category of modules over [italic capital]E, that is more sensitive than the traditional starting point, Hom([italic capital…
Pseudofunctors with values on modules with zero dimensional support are constructed over the formally smooth category and residually finite category. Combining those pseudofunctors, a pseudofunctor over the category whose objects are Noetherian local rings and whose morphisms a…
Phantom homology
by Hochster, Melvin, Huneke, C., (Craig)
fromMemoirs of the American Mathematical Society
This paper deals almost exclusively with Noetherian commutative rings with identity.
The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural …
This book, first piblished in 2000, contains research on commutative ring theory and representation theory.
Groups, rings, modules
by Buchsbaum, David A., Auslander, Maurice
fromHarpers series in modern mathematics
Groups, rings, modules
by Buchsbaum, David A., Auslander, Maurice
fromHarpers series in modern mathematics
This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and t…
