Note on a certain type of diophantine system
نویسندگان
چکیده
منابع مشابه
A Note on Artinianess of Certain Generalized
Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...
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A Diophantine figure, see i.e. [4, 5, 6], is a set of points on the integer grid Z where all mutual Euclidean distances are integers. We also speak of Diophantine graphs. The vertices are points in Z (the coordinates) and the edges are labeled with the distance between the two adjacent vertices, which is integral. In this language a Diophantine figure is a complete Diophantine graph. Two Diopha...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1941
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1941-07399-4