The Resource Monomial Ideals and Their Decompositions, by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff, (electronic resource)
Monomial Ideals and Their Decompositions, by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff, (electronic resource)
Resource Information
The item Monomial Ideals and Their Decompositions, by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute Library.This item is available to borrow from 1 library branch.
Resource Information
The item Monomial Ideals and Their Decompositions, by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute Library.
This item is available to borrow from 1 library branch.
- Summary
- This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in abstract algebra that includes polynomial rings and ideals, this book serves as a core text for a course in combinatorial commutative algebra or as preparation for more advanced courses in the area. The text contains over 600 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2 with tutorials and exercises for most sections of the text, preparing them for significant computational work in the area. Connections to non-monomial areas of abstract algebra, electrical engineering, combinatorics and other areas of mathematics are provided which give the reader a sense of how these ideas reach into other areas. .--
- Language
- eng
- Extent
- 1 online resource (XXIV, 387 pages)
- Contents
-
- -Introduction
- 1. Fundamental Properties of Monomial Ideals . -2. Operations on Monomial Ideals
- 3. M-Irreducible Ideals and Decompositions
- 4. Connections with Combinatorics
- 5. Connections with Other Areas. -6. Parametric Decompositions of Monomial Ideals
- 7. Computing M-Irreducible Decompositions
- Appendix A. Foundational Concepts
- Appendix B. Introduction to Macaulay2
- Bibliography
- Index.
- Isbn
- 9783319968766
- Label
- Monomial Ideals and Their Decompositions
- Title
- Monomial Ideals and Their Decompositions
- Statement of responsibility
- by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff
- Language
- eng
- Summary
- This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in abstract algebra that includes polynomial rings and ideals, this book serves as a core text for a course in combinatorial commutative algebra or as preparation for more advanced courses in the area. The text contains over 600 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2 with tutorials and exercises for most sections of the text, preparing them for significant computational work in the area. Connections to non-monomial areas of abstract algebra, electrical engineering, combinatorics and other areas of mathematics are provided which give the reader a sense of how these ideas reach into other areas. .--
- Assigning source
- Provided by publisher
- http://library.link/vocab/creatorName
- Moore, W Frank
- Literary form
- non fiction
- Nature of contents
- dictionaries
- http://library.link/vocab/relatedWorkOrContributorName
-
- Rogers, Mark.
- Sather-Wagstaff, Sean.
- Series statement
-
- Springer eBooks
- Springer eBooks.
- Universitext,
- http://library.link/vocab/subjectName
-
- Algebra
- Algebra
- Algebraic topology
- Geometry, algebraic
- Label
- Monomial Ideals and Their Decompositions, by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff, (electronic resource)
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- -Introduction -- 1. Fundamental Properties of Monomial Ideals . -2. Operations on Monomial Ideals -- 3. M-Irreducible Ideals and Decompositions -- 4. Connections with Combinatorics -- 5. Connections with Other Areas. -6. Parametric Decompositions of Monomial Ideals -- 7. Computing M-Irreducible Decompositions -- Appendix A. Foundational Concepts -- Appendix B. Introduction to Macaulay2 -- Bibliography -- Index.
- Control code
- 978-3-319-96876-6
- Dimensions
- unknown
- Extent
- 1 online resource (XXIV, 387 pages)
- Form of item
-
- online
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783319968766
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- 55 illustrations
- Specific material designation
- remote
- System control number
- (OCoLC)1060523540
- Label
- Monomial Ideals and Their Decompositions, by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff, (electronic resource)
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- -Introduction -- 1. Fundamental Properties of Monomial Ideals . -2. Operations on Monomial Ideals -- 3. M-Irreducible Ideals and Decompositions -- 4. Connections with Combinatorics -- 5. Connections with Other Areas. -6. Parametric Decompositions of Monomial Ideals -- 7. Computing M-Irreducible Decompositions -- Appendix A. Foundational Concepts -- Appendix B. Introduction to Macaulay2 -- Bibliography -- Index.
- Control code
- 978-3-319-96876-6
- Dimensions
- unknown
- Extent
- 1 online resource (XXIV, 387 pages)
- Form of item
-
- online
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783319968766
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- 55 illustrations
- Specific material designation
- remote
- System control number
- (OCoLC)1060523540
Subject
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Monomial-Ideals-and-Their-Decompositions-by-W./QVtqBfHSwB4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Monomial-Ideals-and-Their-Decompositions-by-W./QVtqBfHSwB4/">Monomial Ideals and Their Decompositions, by W. Frank Moore, Mark Rogers, Sean Sather-Wagstaff, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute Library</a></span></span></span></span></div>