Foundations of Module and Ring Theory
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A01=Robert Wisbauer
advanced module theory applications
Artinian Modules
Artinian Rings
Author_Robert Wisbauer
Category=PBCD
Category=PBF
Category=PBW
Cocyclic Modules
commutative
Commutative Exact Diagram
diagram
direct
Direct Summand
Division Ring
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
exact
Finitely Generated
functorial approach
Grothendieck category
Hom functor methods
hull
injective
Injective Cogenerators
Injective Hull
Inverse Limit
left
Left Artinian
Left Artinian Rings
Left Coherent Ring
Left Ideal
Left PP Ring
linear algebra foundations
Maximal Submodule
Minimal Left Ideal
module homological algebra
non-unital rings
Non-zero Submodule
Projective Cover
Pure Exact Sequence
Pure Monomorphism
Pure Sub-module
Pure Submodule
Semisimple Modules
sequence
sum
summand
Superfluous Submodules
Wisbauer Robert
Product details
- ISBN 9782881248054
- Weight: 1300g
- Dimensions: 152 x 229mm
- Publication Date: 05 Sep 1991
- Publisher: Gordon & Breach Science Publishers SA
- Publication City/Country: NL
- Product Form: Hardback
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This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.
