Filtration (abstract algebra)

Summary

  • In mathematics, a filtration is an indexed set Si of subobjects of a given algebraic structure S, with an index set I that is a totally ordered set, subject only to the condition that if i â?¤ j in I then Si is contained in Sj. For example, in group theory, a filtration of a group G is a totally ordered set of subgroups of G, indexed in a particular way.

Soundex: F436 ( F436 A123 A421 )

Reference

Elementary Linear Algebra - only $97.45
, Second Edition focuses on developing the student s abstract thinking process with proofs essential for further mathematical study. The authors encourage the use of computer software for reducing rote calculations inherent in any linear algebra course, but the vast majority of the computational exercises can be done without a computer.. At the same time, their text provides flexible coverage of the practical applications of linear algebra, exploring a comprehensive range of topics -- from basic computational techniques to important theoretical results. Professors Andrilli and Hecker devote early, intensive attention to skills of constructing, reading, and writing mathematical proofs. »

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