Titlebook: Rings and Categories of Modules; Frank W. Anderson,Kent R. Fuller Textbook 1992Latest edition Springer-Verlag New York, Inc. 1992 algebra.

AND

Equivalence and Duality for Module Categories,ndomorphism rings of abelian groups. As we shall see the Wedderburn Theorem for simple artinian rings can be interpreted as asserting that a ring . is simple artinian if and only if the category . is “the same” as the category . for some division ring .. On the other hand, if . is a division ring, t

craven

Injective Modules, Projective Modules, and Their Decompositions,ns of noetherian rings in terms of the structure of injective modules. Then, after considering the decomposition theory of direct sums of countably generated modules, we proceed to the study of semiperfect and perfect rings (those over which all finitely generated modules and, respectively, all modu

forebear

ZEST

Daily-Value

幻想

Functors Between Module Categories,it should now be clear that the structure of the category . determines to a significant extent the structure of the ring .. Thus in this chapter we turn to the direct studies of these categories .. Our starting point will be the study of certain natural “functors” or “homomorphisms” between pairs of these categories.

Neonatal

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Debrief

https://doi.org/10.1007/978-1-4612-4418-9algebra; homomorphism; representation theory; ring; transformation

FLUSH

978-1-4612-8763-6Springer-Verlag New York, Inc. 1992