JP Journal of Algebra, Number Theory and Applications
Volume 48, Issue 2, Pages 211 - 218
(November 2020) http://dx.doi.org/10.17654/NT048020211 |
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A CONSTRUCTION OF THE RING OF INTEGERS
Yonah Cherniavsky and Adi Jarden
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Abstract: In the usual way to construct from we define an equivalence relation on the set and define the following operations on
While the addition is natural, the multiplication is not so natural.
In the present paper, we construct from using the natural operations on matrices. More generally, we begin to look for sufficient conditions on a pair of a ring and a semiring S yielding that can be constructed from S. |
Keywords and phrases: rings, foundation, semirings, cancellative semirings.
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