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Sets and ordered structures. [electronic resource] / Rudeanu, Sergiu.

By: Contributor(s): Language: English [S.l.] : Bentham Science Publishers Ltd., 2012Description: 260 pContent type:
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ISBN:
  • 9781608054992
Subject(s): Online resources:
Contents:
Sets and ordered structures -- Contents -- Foreword -- Chapter 1: Sets -- Chapter 2: Ordered Sets -- Chapter 3: Transfinite Algebra -- Chapter 3: Transfinite Algebra -- Chapter 4: Lattices -- Chapter 4: Lattices -- Chapter 5: Representation Theory -- Chapter 5: Representation Theory -- Chapter 6: Applications -- Chapter 6: Applications -- Bibliography -- Bibliography -- Index -- Index -- Index
Abstract: This e-book presents the fundamentals of the order relation are presented, including several properties equivalent to the axiom of choice, and culminating with well-ordered sets and transfinite numbers. It serves both as a textbook for undergraduate and graduate students and as a reference book for mathematicians working in fields different from set theory or algebra, to whom it provides a quick access to basic facts from order theory.
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Sets and ordered structures -- Contents -- Foreword -- Chapter 1: Sets -- Chapter 2: Ordered Sets -- Chapter 3: Transfinite Algebra -- Chapter 3: Transfinite Algebra -- Chapter 4: Lattices -- Chapter 4: Lattices -- Chapter 5: Representation Theory -- Chapter 5: Representation Theory -- Chapter 6: Applications -- Chapter 6: Applications -- Bibliography -- Bibliography -- Index -- Index -- Index

This e-book presents the fundamentals of the order relation are presented, including several properties equivalent to the axiom of choice, and culminating with well-ordered sets and transfinite numbers. It serves both as a textbook for undergraduate and graduate students and as a reference book for mathematicians working in fields different from set theory or algebra, to whom it provides a quick access to basic facts from order theory.

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