Lattice Concepts of Module Theory


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It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception that the structure of a module over a ring is best understood in terms of the lattice struc- ture of its submodule lattice. Citing Louis H. Rowen "this important example (the lattice of all the submodules of a module) is the raison d'etre for the study of lattice theory ...

Lattice Concepts of Module Theory 2010, Springer, Dordrecht

ISBN-13: 9789048155309


Lattice Concepts of Module Theory 2000, Springer, Dordrecht, Netherlands

ISBN-13: 9780792364887

2000 edition