Search Results - "Shimomoto, Kazuma"
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Finite étale extensions of Tate rings and decompletion of perfectoid algebras
Published in Journal of algebra (01-01-2022)“…In this paper, we examine the behavior of ideal-adic separatedness and completeness under certain ring extensions using trace map. Then we prove that adic…”
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On the Witt Vectors of Perfect Rings in Positive Characteristic
Published in Communications in algebra (02-12-2015)“…The purpose of this article is to prove some results on the Witt vectors of perfect F p -algebras. Let A be a perfect F p -algebra for a prime integer p, and…”
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3
Another proof of the almost purity theorem for perfectoid valuation rings
Published in Journal of pure and applied algebra (01-07-2022)“…The almost purity theorem is central to the geometry of perfectoid spaces and has numerous applications in algebra and geometry. This result is known to have…”
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4
Normal hyperplane sections of normal schemes in mixed characteristic
Published in Communications in algebra (03-06-2019)“…The aim of this article is to prove that, under certain conditions, an affine flat normal scheme that is of finite type over a local Dedekind scheme in mixed…”
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Specialization method in Krull dimension two and Euler system theory over normal deformation rings
Published in Annales mathématiques du Québec (01-10-2019)“…The aim of this article is to establish the specialization method on characteristic ideals for finitely generated torsion modules over a complete local normal…”
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6
Deformation of F-Injectivity and Local Cohomology
Published in Indiana University mathematics journal (01-01-2014)“…We give a sufficient condition for F-injectivity to deform in terms of local cohomology. We show this condition is met in two geometrically interesting…”
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7
Hyperplane sections of non-standard graded rings
Published in Communications in algebra (02-10-2024)“…The purpose of this paper is to explain a method on the generalization of the Bertini-type theorem on standard graded rings to the non-standard graded case of…”
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Integral perfectoid big Cohen–Macaulay algebras via André’s theorem
Published in Mathematische annalen (01-12-2018)“…The main result of this article is to prove that any Noetherian local domain of mixed characteristic maps to an integral perfectoid big Cohen–Macaulay algebra…”
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Remarks on the small Cohen-Macaulay conjecture and new instances of maximal Cohen-Macaulay modules
Published in Journal of algebra (15-11-2023)“…We show that any quasi-Gorenstein deformation of a 3-dimensional quasi-Gorenstein Buchsbaum local ring with I-invariant 1 admits a maximal Cohen-Macaulay…”
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10
Growth Orientation Control of Semipolar InN Films Using Yttria-Stabilized Zirconia Substrates
Published in Japanese Journal of Applied Physics (01-08-2010)“…We have investigated the epitaxial growth of InN films on yttria-stabilized zirconia (YSZ) substrates with various surface orientations. Through systematic…”
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Characteristics of $m$-Plane InN Films Grown on ZnO Substrates at Room Temperature by Pulsed Laser Deposition
Published in Japanese Journal of Applied Physics (01-08-2010)“…We have grown single-crystal $m$-plane $(1\bar{1}00)$ InN films on $m$-plane $(1\bar{1}00)$ ZnO substrates at low substrate temperatures by the use of pulsed…”
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12
Almost Cohen-Macaulay and almost regular algebras via almost flat extensions
Published in Journal of commutative algebra (01-12-2012)Get full text
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13
Room-temperature epitaxial growth of high-quality m -plane InGaN films on ZnO substrates
Published in Physica status solidi. PSS-RRL. Rapid research letters (01-05-2009)“…The authors have grown high‐quality m ‐plane In0.36Ga0.64N (1$ \bar 1 $00) films on ZnO (1$ \bar 1 $00) substrates at room temperature (RT) by pulsed laser…”
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14
F-coherent rings with applications to tight closure theory
Published in Journal of algebra (15-07-2011)“…The aim of this paper is to introduce a new class of Noetherian rings of prime characteristic via perfect closure and study their basic properties. If the…”
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15
On the semicontinuity problem of fibers and global F-regularity
Published in Communications in algebra (04-03-2017)“…In this article, we discuss the semicontinuity problem of certain properties on fibers for a morphism of schemes. One aspect of this problem is local. Namely,…”
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16
F-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic p>0
Published in Advances in mathematics (New York. 1965) (20-06-2017)“…The main aim of this article is to study the relation between F-injective singularity and the Frobenius closure of parameter ideals in Noetherian rings of…”
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17
Hyperplane sections of non-standard graded rings
Published 17-12-2023“…The purpose of this paper is to explain a method on the generalization of the Bertini-type theorem on standard graded rings to the non-standard graded case of…”
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18
ALMOST COHEN-MACAULAY AND ALMOST REGULAR ALGEBRAS VIA ALMOST FLAT EXTENSIONS
Published in Journal of commutative algebra (01-12-2012)“…The present paper deals with various aspects of the notion of almost Cohen-Macaulay property, which was introduced and studied by Roberts, Singh and Srinivas…”
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19
Matijevic-Roberts type theorems, Rees rings and associated graded rings
Published 09-12-2023“…The aim of this article is to investigate interrelated structures lying among three notable problems in commutative algebra. These are Lifting problem,…”
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On the localization theorem for F -pure rings
Published in Journal of pure and applied algebra (01-06-2009)“…In this article, we solve Grothendieck’s localization problem for a certain class of rings that arises from tight closure theory. It is quite essential to use…”
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