Σ-bounded algebraic systems and universal functions. II

被引：6

作者：

Khisamiev, A. N. ^{[1
]}

机构：

[1] Sobolev Inst Math Novosibirsk, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2010年 / 51卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

admissible set; Sigma-definability; computability; universal Sigma-function; Sigma-bounded algebraic system; Ershov algebra; Boolean algebra; abelian p-group;

D O I：

10.1007/s11202-010-0056-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ershov algebras, Boolean algebras, and abelian p-groups are Sigma-bounded systems, and there exist universal Sigma-functions in hereditarily finite admissible sets over them.

引用

页码：537 / 551

页数：15

共 50 条

[31] Concerning arithmetic theories of algebraic functions. II. General theory of Weierstrass points.
Schmidt, FK
MATHEMATISCHE ZEITSCHRIFT, 1939, 45 : 75 - 96
[32] On finitely mean valent functions. II
Spencer, D. C.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1940, 48 (1-3) : 418 - 435
[33] Generalized moments of additive functions. II
Indlekofer K.-H.
Kátai I.
Lithuanian Mathematical Journal, 2001, 41 (1) : 54 - 64
[34] The boundary values of analytic functions. II
Doob, Joseph L.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1933, 35 (1-4) : 418 - 451
[35] About approach analyical functions. II
Okada, Y
MATHEMATISCHE ZEITSCHRIFT, 1928, 27 : 212 - 217
[36] Some inequalities for characteristic functions. II
Hu, Chin-Yuan
Lin, Gwo Dong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 201 - 219
[37] Integral transform of generalized functions. II
Mahato, A.K.
Analysis Mathematica, 1997, 23 (02)
[38] VERY SLOWLY VARYING FUNCTIONS. II
Bingham, N. H.
Ostaszewski, A. J.
COLLOQUIUM MATHEMATICUM, 2009, 116 (01) : 105 - 117
[39] The mean values of multiplicative functions. II
Stepanauskas G.
Lithuanian Mathematical Journal, 1997, 37 (2) : 162 - 170
[40] On the theory of algebraic functions. Part I. Higher congruencies
不详
ACTA MATHEMATICA, 1923, 44 (01) : 219 - 222

← 1 2 3 4 5 →