Visit our Christmas Gift Finder
Semidistributive Modules and Rings - Mathematics and Its Applications 449 (Paperback)
  • Semidistributive Modules and Rings - Mathematics and Its Applications 449 (Paperback)
zoom

Semidistributive Modules and Rings - Mathematics and Its Applications 449 (Paperback)

(author)
£96.50
Paperback 357 Pages / Published: 15/10/2012
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
A module M is called distributive if the lattice Lat(M) of all its submodules is distributive, i.e., Fn(G + H) = FnG + FnH for all submodules F,G, and H of the module M. A module M is called uniserial if all its submodules are comparable with respect to inclusion, i.e., the lattice Lat(M) is a chain. Any direct sum of distributive (resp. uniserial) modules is called a semidistributive (resp. serial) module. The class of distributive (resp. semidistributive) modules properly cont.ains the class ofall uniserial (resp. serial) modules. In particular, all simple (resp. semisimple) modules are distributive (resp. semidistributive). All strongly regular rings (for example, all factor rings of direct products of division rings and all commutative regular rings) are distributive; all valuation rings in division rings and all commutative Dedekind rings (e.g., rings of integral algebraic numbers or commutative principal ideal rings) are distributive. A module is called a Bezout module or a locally cyclic module ifevery finitely generated submodule is cyclic. If all maximal right ideals of a ring A are ideals (e.g., if A is commutative), then all Bezout A-modules are distributive.

Publisher: Springer
ISBN: 9789401061360
Number of pages: 357
Weight: 593 g
Dimensions: 240 x 160 x 20 mm
Edition: Softcover reprint of the original 1st ed. 199

You may also be interested in...

Basic Linear Algebra
Added to basket
£24.95
Paperback
Schaum's Outline of College Algebra
Added to basket
Linear Algebra
Added to basket
£61.99
Hardback
Linear Algebra For Dummies
Added to basket
Linear Algebra Demystified
Added to basket
Book of Abstract Algebra
Added to basket
Algebra I Essentials For Dummies
Added to basket
Linear Algebra
Added to basket
£31.49
Paperback
Algebra and Geometry
Added to basket
Linear Algebra: Concepts and Methods
Added to basket

Please sign in to write a review

Your review has been submitted successfully.