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RING THEORY (M2, Gillman)

Lecture Topic : RING THEORY (M2, Gillman)

Prerequisites : Abstract Algebra (M1); Representation Theory (M1);

Recommended Text(s) :

“Rings of Continuous Functions”, Graduate Texts in Mathematics (GTM) No. 43, Leonard Gillman & Meyer Jerison, Springer, 1960.

Approx price new on Amazon.com (hard copy) : $94

Approx price second hand on Amazon.com (hard copy) : $40

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Gillman, Rings Continuous Functions

Lectures and Links :

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Lecture 0  (link)

Ch.0   Foreword

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Lecture 1  (link)

Ch.1   Functions on a Topological Space

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Lecture 2  (link)

Ch.2   Ideals and z-Filters

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Lecture 3  (link)

Ch.3   Completely Regular Spaces

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Lecture 4 (link)

Ch.4   Fixed Ideals, Compact Spaces

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Lecture 5  (link)

Ch.5   Ordered Residue Class Rings

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Lecture 6  (link)

Ch.6   The Stone-Cech Compactification

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Lecture 7  (link)

Ch.7   Characterization of Maximal Ideals

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Lecture 8  (link)

Ch.8   Realcompact Spaces

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Lecture 9  (link)

Ch.9   Cardinals of Closed Sets in bX

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Lecture 10  (link)

Ch.10   Homomorphisms and Continuous Mappings

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Lecture 11  (link)

Ch.11   Embedding in Products of Real Lines

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Lecture 12  (link)

Ch.12   Discrete Spaces, Nonmeasurable Cardinals

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Lecture 13  (link)

Ch.13   Hyper-Real Residue Class Fields

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Lecture 14  (link)

Ch.14   Prime Ideals

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Lecture 15  (link)

Ch.15   Uniform Spaces

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Lecture 16  (link)

Ch.16  Dimension

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Lecture 17  (link)

Ch.17   Notes

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