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

Introduction to Abstract Algebra with Notes to the Future Teacher, An - only $81.90
This traditional treatment of abstract algebra is designed for the particular needs of the mathematics teacher. A. Provides historical context with “From the Past” sections in each chapter. Features “Worksheets” that outline the framework of a topic in most chapters. capabilities. »

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