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Displaying 341 – 360 of 372

Arithmetic of block monoids

Wolfgang Alexander Schmid (2004)

Mathematica Slovaca

Arithmetic of non-principal orders in algebraic number fields

Andreas Philipp (2010)

Actes des rencontres du CIRM

Let $R$ be an order in an algebraic number field. If $R$ is a principal order, then many explicit results on its arithmetic are available. Among others, $R$ is half-factorial if and only if the class group of $R$ has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.

Arithmetic on two dimensional local rings.

S. Saito (1986)

Inventiones mathematicae

Arithmetic progressions in a unique factorization domain

Sudhir R. Ghorpade, Samrith Ram (2012)

Acta Arithmetica

Arithmetical aspects of saturation of singularities

Antonio Campillo (1988)

Banach Center Publications

Arithmetical properties of finite rings and algebras, and analytic number theory. III. Finite modules and algebras over Dedekind domains.

John Knopfmacher (1973)

Journal für die reine und angewandte Mathematik

Arithmetical quadratic surfaces of genus 0, II.

J. Brzezinski (1984)

Mathematica Scandinavica

Arithmetical theory of monoid homomorphisms.

A. Geroldinger, F. Halter-Koch (1994)

Semigroup forum

Arithmetically Cohen-Macaulay curves in P4 of degree 4 and genus 0.

Ragni Piene, Mireille Martin-Deschamps (1997)

Manuscripta mathematica

Aritmética de los semigrupos de Arf y saturados. Aplicaciones.

A. Campillo, F. Delgado, C. A. Núñez (1988)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Artin Approximation and Formal Fibres of Local Rings.

Martin L. Brown (1983)

Mathematische Zeitschrift

Artinian cofinite modules over complete Noetherian local rings

Behrouz Sadeghi, Kamal Bahmanpour, Jafar A'zami (2013)

Czechoslovak Mathematical Journal

Let $(R, 𝔪)$ be a complete Noetherian local ring, $I$ an ideal of $R$ and $M$ a nonzero Artinian $R$ -module. In this paper it is shown that if $𝔭$ is a prime ideal of $R$ such that $dim R / 𝔭 = 1$ and $(0 :_{M} 𝔭)$ is not finitely generated and for each $i \geq 2$ the $R$ -module ${Ext}_{R}^{i} (M, R / 𝔭)$ is of finite length, then the $R$ -module ${Ext}_{R}^{1} (M, R / 𝔭)$ is not of finite length. Using this result, it is shown that for all finitely generated $R$ -modules $N$ with $Supp (N) \subseteq V (I)$ and for all integers $i \geq 0$ , the $R$ -modules ${Ext}_{R}^{i} (N, M)$ are of finite length, if and only if, for all finitely generated $R$ -modules $N$ with $Supp (N) \subseteq V (I)$ and...

Artinian modules are countably generated

D. D. Anderson (1977)

Colloquium Mathematicae

Artinianness of formal local cohomology modules

Shahram Rezaei (2019)

Commentationes Mathematicae Universitatis Carolinae

Let $𝔞$ be an ideal of Noetherian local ring $(R, 𝔪)$ and $M$ a finitely generated $R$ -module of dimension $d$ . In this paper we investigate the Artinianness of formal local cohomology modules under certain conditions on the local cohomology modules with respect to $𝔪$ . Also we prove that for an arbitrary local ring $(R, 𝔪)$ (not necessarily complete), we have ${Att}_{R} (𝔉_{𝔞}^{d} (M)) = Min V ({Ann}_{R} 𝔉_{𝔞}^{d} (M)) .$

Artin-Nagata properties and Cohen-Macaulay associated graded rings

Mark Johnson, Bernd Ulrich (1996)

Compositio Mathematica

Artin's conjecture on primes with prescribed primitive roots

H. W., Jr. Lenstra (1976/1977)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Artin's Theorem on the Solutions of Analytic Equations in Positive Characteristic.

Michel André (1975)

Manuscripta mathematica

Associate forms, joins, multiplicities and an intrinsic elimination theory

Federico Gaeta (1990)

Banach Center Publications

Associated graded rings and connected sums

H. Ananthnarayan, Ela Celikbas, Jai Laxmi, Zheng Yang (2020)

Czechoslovak Mathematical Journal

In 2012, Ananthnarayan, Avramov and Moore gave a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. In this article, we investigate conditions on the associated graded ring of a Gorenstein Artin local ring $Q$ , which force it to be a connected sum over its residue field. In particular, we recover some results regarding short, and stretched, Gorenstein Artin rings. Finally, using these decompositions, we obtain results about the rationality of the Poincaré...

Associated Graded Rings Derived from Integrally Closed Ideals and the Local Homological Conjectures

Melvin Hochster (1980)

Publications mathématiques et informatique de Rennes

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