The canonical ideal of R

1973 ◽  
pp. 141-152
Author(s):  
Eben Matlis
Keyword(s):  
Canonical Ideal

scholarly journals A generating set for the canonical ideal of HKG-curves

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Aristides Kontogeorgis ◽  
Ioannis Tsouknidas
Keyword(s):  
Generating Set ◽  
Canonical Ideal

Multiplicative canonical ideals of ring extensions

2017 ◽  
Vol 16 (04) ◽  
pp. 1750069 ◽  
Author(s):  
Simplice Tchamna
Keyword(s):  
Ring Extension ◽  
Ideal Formula ◽  
Regular Ideal ◽  
Canonical Ideal ◽  
Ring Extensions

We study properties of multiplicative canonical (m-canonical) ideals of ring extensions. Let [Formula: see text] be a ring extension. A nonzero [Formula: see text]-regular ideal [Formula: see text] of [Formula: see text] is called an m-canonical ideal of the extension [Formula: see text] if [Formula: see text] for all [Formula: see text]-regular ideal [Formula: see text] of [Formula: see text]. We study m-canonical ideals for pullback diagrams, and we use the notion of m-canonical ideal to characterize Prüfer extensions.

scholarly journals A MINIMAL SET OF GENERATORS FOR THE CANONICAL IDEAL OF A NONDEGENERATE CURVE

2014 ◽  
Vol 98 (3) ◽  
pp. 311-323 ◽  
Author(s):  
WOUTER CASTRYCK ◽  
FILIP COOLS
Keyword(s):  
Laurent Polynomial ◽  
Projective Curve ◽  
Toric Surface ◽  
Minimal Set ◽  
Smooth Projective Curve ◽  
Canonical Ideal

We give an explicit way of writing down a minimal set of generators for the canonical ideal of a nondegenerate curve, or of a more general smooth projective curve in a toric surface, in terms of its defining Laurent polynomial.

Nominal periphrasis

2011 ◽  
Vol 35 (2) ◽  
pp. 247-274 ◽  
Author(s):  
Marina Chumakina
Keyword(s):  
Word Forms ◽  
Canonical Ideal ◽  
Canonical Approach

Periphrasis, the use of two independent word forms to serve the function of a single inflected word, is usually associated with verbal systems. However, it occurs also in nominal systems. Using the canonical approach to formulate the criteria for nominal periphrasis, I analyse instances of periphrasis in three Samoyedic languages (Tundra Nenets, Forest Enets and Nganasan) where it approaches the canonical ideal, and compare these to the case systems of Romanian, Armenian and Archi where the periphrasis is further away from the canonical centre. An important advantage of the canonical approach is that it provides an instrument to investigate periphrastic realisations in finer detail, and takes periphrasis as an integral part of the morphological and syntactic systems of an individual language.

Introduction

2018 ◽  
Author(s):  
Jenny Audring ◽  
Sebastian Fedden
Keyword(s):  
Theoretical Perspective ◽  
Grammatical Gender ◽  
Single Gender ◽  
System P ◽  
The World ◽  
Canonical Ideal ◽  
The Individual ◽  
Gender System

Grammatical gender systems vary widely across the languages of the world. Many conform to the canonical ideal in that each noun belongs to a single gender, and this gender is reflected in the agreement affixes on various words throughout the sentence. Other systems diverge from this ideal, some quite substantially. This chapter is the opening chapter of a unique collection of non-canonical gender systems from a variety of language families across the world. It outlines the theoretical perspective taken in the volume—Canonical Typology—and introduces the individual chapters, highlighting in what particular ways each language discussed in the book has a non-canonical gender system.

Canonical gender

2015 ◽  
Vol 52 (3) ◽  
pp. 495-531 ◽  
Author(s):  
GREVILLE G. CORBETT ◽  
SEBASTIAN FEDDEN
Keyword(s):  
Classification Systems ◽  
Single Type ◽  
Entire System ◽  
Single Gender ◽  
Parts Of Speech ◽  
The World ◽  
Canonical Ideal ◽  
Typological Approach ◽  
Nominal Classification ◽  
Gender System

Nominal classification remains a fascinating topic but in order to make further progress we need greater clarity of definition and analysis. Taking a Canonical Typology approach, we use canonical gender as an ideal against which we can measure the actual gender systems we find in the languages of the world. Building on previous work on canonical morphosyntactic features, particularly on how they intersect with canonical parts of speech, we establish the distinctiveness of gender, reflected in the Canonical Gender Principle: In a canonical gender system, each noun has a single gender value. We develop three criteria associated with this principle, which together ensure that canonically a noun has exactly one gender value; we give examples of non-canonicity for each criterion, thus gradually building the typology. This is the essential groundwork for a comprehensive typology of nominal classification: the Canonical Typological approach allows us to tease apart clusterings of properties and to characterize individual properties with respect to a canonical ideal, rather than requiring us to treat the entire system as belonging to a single type. This approach is designed to facilitate comparisons of different noun classification systems across languages.

scholarly journals Intersection algebras for principal monomial ideals in polynomial rings

2015 ◽  
Vol 14 (07) ◽  
pp. 1550108 ◽  
Author(s):  
Florian Enescu ◽  
Sara Malec
Keyword(s):  
Polynomial Ring ◽  
Hilbert Series ◽  
Linear Equations ◽  
Monomial Ideals ◽  
Polynomial Rings ◽  
Integer Coefficients ◽  
Canonical Ideal

The properties of the intersection algebra of two principal monomial ideals in a polynomial ring are investigated in detail. Results are obtained regarding the Hilbert series and the canonical ideal of the intersection algebra using methods from the theory of Diophantine linear equations with integer coefficients.

scholarly journals STATISTICAL PROPERTIES OF KLAUDER–PERELOMOV COHERENT STATES FOR THE MORSE POTENTIAL

2004 ◽  
Vol 18 (03) ◽  
pp. 325-336 ◽  
Author(s):  
M. DAOUD ◽  
D. POPOV
Keyword(s):  
Coherent States ◽  
Morse Potential ◽  
Ideal Gas ◽  
Distribution Functions ◽  
Statistical Properties ◽  
Canonical Ideal ◽  
Thermal Expectations ◽  
Morse Oscillators ◽  
P Distribution

We present in this letter a realistic construction of the coherent states for the Morse potential using the Klauder–Perelomov approach. We discuss the statistical properties of these states, by deducing the Q- and P-distribution functions. The thermal expectations for the quantum canonical ideal gas of the Morse oscillators are also calculated.

The Structure of Political Choices: Distinguishing Between Constraint and Multidimensionality

2021 ◽  
pp. 1-18
Author(s):  
William Marble ◽  
Matthew Tyler
Keyword(s):  
Ideal Point ◽  
Legislative Behavior ◽  
The Public ◽  
Political Preferences ◽  
Mass Public ◽  
Multiple Dimensions ◽  
Formal Framework ◽  
Canonical Ideal ◽  
Political Choices ◽  
Using Data

Abstract In the literatures on public opinion and legislative behavior, there are debates over (1) how constrained preferences are and (2) whether they are captured by a single left–right spectrum or require multiple dimensions. But insufficient formalization has led scholars to equate a lack of constraint with multidimensional preferences. In this paper, we refine the concepts of constraint and dimensionality in a formal framework and describe how they translate into separate observable implications for political preferences. We use this discussion to motivate a cross-validation estimator that measures constraint and dimensionality in the context of canonical ideal point models. Using data from the public and politicians, we find that American political preferences are one-dimensional, but there is more constraint among politicians than among the mass public. Furthermore, we show that differences between politicians and the public are not explained by differences in agendas or the incentives faced by the actors.

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