Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case

被引：2

作者：

Mortini, Raymond ^{[1
,2
]}

Sasane, Amol ^{[3
]}

机构：

[1] Univ Lorraine, Dept Math, UMR 7502, F-57045 Metz, France

[2] Univ Lorraine, Inst Elie Cartan Lorraine, F-57045 Metz, France

[3] London Sch Econ, Dept Math, London WC2A 2AE, England

来源：

ARCHIV DER MATHEMATIK | 2013年 / 101卷 / 06期

关键词：

Coherent ring; Polydisc Wiener algebra; Several complex variables; COHERENCE;

D O I：

10.1007/s00013-013-0592-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the facts that the disk algebra and the Wiener algebra are not coherent, we prove that the polydisc algebra, the ball algebra, and the Wiener algebra of the polydisc are not coherent.

引用

页码：525 / 529

页数：5

共 24 条

[1] Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case
Raymond Mortini
Amol Sasane
Archiv der Mathematik, 2013, 101 : 525 - 529
[2] Several Enhancements to Hermite-Based Approximation of One-Variable Functions
Beliczynski, Bartlomiej
Ribeiro, Bernardete
ARTIFICIAL NEURAL NETWORKS - ICANN 2008, PT I, 2008, 5163 : 11 - +
[3] SOME ENHANCEMENTS TO APPROXIMATION OF ONE-VARIABLE FUNCTIONS BY ORTHONORMAL BASIS
Beliczynski, Bartlomiej
Ribeiro, Bernardete
NEURAL NETWORK WORLD, 2009, 19 (05) : 401 - 412
[4] Approximation to Continuous Functions of Several Variables and Nonlinear Functions, Operators by Superpositions of Some Functions of One Variable
陈天平
Chinese Science Bulletin, 1993, (23) : 1937 - 1940
[5] SOME BOUNDARY PROPERTIES OF HOLOMORPHIC FUNCTIONS OF SEVERAL COMPLEX-VARIABLES
SHAFIN, MN
MATHEMATICAL NOTES, 1978, 23 (5-6) : 461 - 463
[6] Locally convex structure of some algebras of holomorphic functions of several variables
Nawrocki, M
MATHEMATISCHE NACHRICHTEN, 2002, 246 : 170 - 187
[7] Extremal Problems of Some Family of Holomorphic Functions of Several Complex Variables
Trybucka, Edyta
SYMMETRY-BASEL, 2019, 11 (10):
[8] NEW PROPERTIES OF SOME FAMILIES OF HOLOMORPHIC FUNCTIONS OF SEVERAL COMPLEX VARIABLES
Les-Bomba, Edyta
Liczberski, Piotr
DEMONSTRATIO MATHEMATICA, 2009, 42 (03) : 491 - 503
[9] APPROXIMATION TO CONTINUOUS-FUNCTIONS OF SEVERAL VARIABLES AND NONLINEAR FUNCTIONS, OPERATORS BY SUPERPOSITIONS OF SOME FUNCTIONS OF ONE VARIABLE
CHEN, TP
CHINESE SCIENCE BULLETIN, 1993, 38 (23): : 1937 - 1940
[10] The Bessel functions with several variables expressed by the Bessel functions with one variable
Jekhowsky, B
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1916, 162 : 318 - 319

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