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Arithmetical Properties of Commutative Rings and Monoids
About this book
Diffractional Optics of Millimetre Waves combines those elements of diffraction theory normally associated with optics, including Gaussian beams, lenses, and mirrors, and extends them into the micro- and millimetre wavelength range. In this regime there are a number of applications in devices, such as automobile proximity sensors, satellite-TV receiving antennae, and non-destructive testing systems. Researchers working in these areas would benefit from greater understanding of the diffraction phenomena involved. A translated and updated version of the authors' book Diffraction Quasioptics, this book will present results formerly unavailable in the general literature.
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Yes, you can access Arithmetical Properties of Commutative Rings and Monoids by Scott T. Chapman in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover Page
- Halftitle Page
- PURE AND APPLIED MATHEMATICS
- LECTURE NOTES IN PURE AND APPLIED MATHEMATICS
- Title Page
- Copyright Page
- Preface
- Contents
- Contributors
- 1 Non-Atomic Unique Factorization in Integral Domains
- 2 Divisibility Properties in Graded Integral Domains
- 3 Extensions of Half-Factorial Domains: A Survey
- 4 C-Monoids and Congruence Monoids in Krull Domains
- 5 Monotone Chains of Factorizations in C-Monoids
- 6 Transfer Principles in the Theory of Non-unique Factorizations
- 7 Cale Monoids, Cale Domains, and Cale Varieties
- 8 Weakly Krull Inside Factorial Domains
- 9 The m-Complement of a Multiplicative Set
- 10 Some Remarks on Infinite Products
- 11 Rings with Prime Nilradical
- 12 On the Ideal Generated by the Values of a Polynomial
- 13 Using Factorizations to Prove a Partition Identity
- 14 On Inside Factorial Integral Domains
- 15 Polynomial Separation of Points in Algebras
- 16 k-Factorized Elements in Telescopic Numerical Semigroups
- 17 Prüfer Conditions in Rings with Zero-Divisors
- 18 Unmixedness and the Generalized Principal Ideal Theorem
- 19 A Note on Sets of Lengths of Powers of Elements of Finitely Generated Monoids
- 20 UMV-Domains
- 21 On Local Half-Factorial Orders
- 22 On Factorization in Krull Domains with Divisor Class Group Z2k
- 23 Integral Morphisms
- 24 A Special Type of Invertible Ideal
- 25 Factorization into Radical Ideals
- 26 Strongly Primary Ideals
- Index