The group of integer solutions of the Diophantine equation x2

被引：0

作者：

Ghasemi, Ghader ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 50期

关键词：

Abelian group; commutative ring; Diophantine equation; Pell's equation; torsion subgroup;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let m and n be two integers. It is shown that the set of all integer solutions of the Diophantine equation x(2) + mxy + ny(2) = 1 has an Abelian group structure. Furthermore, it is shown that this Abelian group is isomorphic to one of the groups Z(2), Z(4), Z(6) and Z(2) x Z.

引用

页码：235 / 253

页数：19