THE ALGEBRAIC STRUCTURE OF LINEARLY RECURSIVE SEQUENCES UNDER HADAMARD PRODUCT

被引：15

作者：

LARSON, RG ^{[1
]}

TAFT, EJ ^{[1
]}

机构：

[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1990年 / 72卷 / 1-2期

关键词：

D O I：

10.1007/BF02764615

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the algebraic structure of linearly recursive sequences under the Hadamard (point-wise) product. We characterize the invertible elements and the zero divisors. Our methods use the Hopf-algebraic structure of this algebra and classical results on Hopf algebras. We show that our criterion for invertibility is effective if one knows a linearly recursive relation for a sequence and certain information about finitely-generated subgroups of the multiplicitive group of the field.

引用

页码：118 / 132

页数：15