Addition Operations on the Multiplicative Monoid of Integers

The paper studies modules over a certain generalized ring. This ring is the noncommutative tensor square of the ring of integers. The modules in question are related to some interesting arithmetic problems. In particular, they are related to the solved Gauss class-number problem for imaginary quadra...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-06, Vol.264 (2), p.193-201
Main Author: Smirnov, A. L.
Format: Article
Language:English
Subjects:
Fields (mathematics)
Integers
Mathematics
Mathematics and Statistics
Modules
Monoids
Number theory
Tensors
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Summary:The paper studies modules over a certain generalized ring. This ring is the noncommutative tensor square of the ring of integers. The modules in question are related to some interesting arithmetic problems. In particular, they are related to the solved Gauss class-number problem for imaginary quadratic fields.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05988-5