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- Algebraic monoids
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UBC Theses and Dissertations
Algebraic monoids Renner, Lex Ellery
Abstract
Definition: Let k be an algebraically closed field. An algebraic monoid is a triple (E,m,l) such that E is an algebraic variety defined over k, m : ExE → E is an associative morphism and 1 € E is a two—sided unit for m. The object of this thesis is to expose several fundamental topics in the theory of algebraic monoids. My results may be divided into three types; general theory of irreducible affine monoids, structure and classification of semi—simple rank one reductive monoids, and theory of general monoid varieties (not necessarily affine). I General Theory of Affine Monoids II Reductive Monoids of Semi-simple Rank One III General Monoid Varieties [Please see document for entire abstract]
Item Metadata
| Title |
Algebraic monoids
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1982
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| Description |
Definition: Let k be an algebraically closed field. An algebraic monoid is a triple (E,m,l) such that E is an algebraic variety defined over k, m : ExE → E is an associative morphism and 1 € E is a two—sided unit for m. The object of this thesis is to expose several fundamental topics in the theory of algebraic monoids. My results may be divided into three types; general theory of irreducible affine monoids, structure and classification of semi—simple rank one reductive monoids, and theory of general monoid varieties (not
necessarily affine). I General Theory of Affine Monoids
II Reductive Monoids of Semi-simple Rank One III General Monoid Varieties [Please see document for entire abstract]
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2010-04-15
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0080349
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.