Plains English in Colorado

Antieau, Lamont D.

doi:10.1215/00031283-78-4-385

Cited by 8 publications

(7 citation statements)

References 16 publications

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“…In case R is singular, it is known that K(R) possesses only trivial aisles under mild assumptions: Smith [50, Theorems 1.2 and 1.3] proved that if R has finite Krull dimension, then K(R) has no bounded t-structure, and if moreover R is irreducible, then 0 and K(R) are the only aisles of K(R). The former statement has recently been extended to schemes by Neeman [47, Theorem 0.1], which resolves a conjecture of Antieau, Gepner and Heller [5].…”

Section: Classification Of Certain Preaisles Of K(r)mentioning

confidence: 72%

“…Since the ring R is a complete intersection, it is Gorenstein. By Lemma 8.3 (5), the number n := Gdim R X is finite. We use induction on n. Let n 0.…”

Section: Definition 82 the (Large) Restricted Flat Dimensionmentioning

confidence: 95%

“…Clearly, the maps φ, ψ are well-defined. Lemma 8.3 (5) implies G(R) = C(R). Proposition 8.7 says φψ = id.…”

Section: Definition 82 the (Large) Restricted Flat Dimensionmentioning

confidence: 99%

“…( (2) The equality follows by definition. As R is Gorenstein, for each C ∈ D(R) the complex RHom(C, R) is bounded, so that it is in D(R); see [25, (2.3.8)] and Lemma 8.3 (5). Thus, the contravariant exact (additive) functor RHom(−, R) gives a duality of D(R).…”

Section: Lemma 92 (1)mentioning

confidence: 99%

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Generation in Module Categories and Derived Categories of Commutative Rings

Takahashi

2021

Commutative Algebra

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Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated Rmodules, by D b (R) the bounded derived category of mod R, and by Dsg(R) the singularity category of R. The main result of this paper provides, when R is a complete intersection, a complete classification of the preaisles of D b (R) containing R and closed under direct summands, which includes as restrictions the classification of thick subcategories of Dsg(R) due to Stevenson, and the classification of resolving subcategories of mod R due to Dao and Takahashi.

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Section: Classification Of Certain Preaisles Of K(r)mentioning

confidence: 72%

“…Since the ring R is a complete intersection, it is Gorenstein. By Lemma 8.3 (5), the number n := Gdim R X is finite. We use induction on n. Let n 0.…”

Section: Definition 82 the (Large) Restricted Flat Dimensionmentioning

confidence: 95%

“…Clearly, the maps φ, ψ are well-defined. Lemma 8.3 (5) implies G(R) = C(R). Proposition 8.7 says φψ = id.…”

Section: Definition 82 the (Large) Restricted Flat Dimensionmentioning

confidence: 99%

Section: Lemma 92 (1)mentioning

confidence: 99%

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Generation in Module Categories and Derived Categories of Commutative Rings

Takahashi

2021

Commutative Algebra

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“…Although Hamilton-Brehm (2003) and Antieau (2003Antieau ( , 2006 use LAWS methods to investigate syntactic variation in El Paso, Texas, and rural Colorado, respectively, this paper is the first to focus specifically on the issue of was/were variation in the LAWS corpus, by concentrating on its distribution in records collected for the LAMR subcomponent in the states of Colorado, Utah, and Wyoming. The main objective of this study is to describe sociolinguistic aspects of was/were variation in rural communities in the middle Rocky Mountain region and to analyze these findings in light of previous research.…”

Section: Plural First Personmentioning

confidence: 99%