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Regularity and Substructures of Hom
Kasch, Friedrich; Mader, A.
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Description for Regularity and Substructures of Hom
Paperback. This book generalizes the well-known regularity of ring elements to regularity of homomorphisms in module categories. It characterizes regular homomorphisms in terms of decompositions of domain and codomain, and presents numerous other results. Series: Frontiers in Mathematics. Num Pages: 179 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 9. Weight in Grams: 372.
Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 14. 1, page 208], [8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]). In abelian group theory the ... Read more
Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 14. 1, page 208], [8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]). In abelian group theory the ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
179
Condition
New
Series
Frontiers in Mathematics
Number of Pages
164
Place of Publication
Basel, Switzerland
ISBN
9783764399894
SKU
V9783764399894
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Regularity and Substructures of Hom
From the reviews: “This book is dedicated to generalizations of regularity for an Abelian group … . contains an excellent and detailed exposition of results on all types of regularity in Hom with consequences for modules and rings. It is accessible, with all necessary definitions and proofs, contains also a series of instructive examples. … interest both for students ... Read more