In spite of the ternary notation, the congruence relation for a given modulus is binary.
3.
Wolstenholme's theorem is a congruence relation satisfied by all prime numbers greater than 7.
4.
A similar trick allows one to speak of kernels in module theory as submodules instead of congruence relations.
5.
It is also the case that 24 } } is an integer multiple of 12, which agrees with the prior definition of the congruence relation.
6.
But this cannot be done with, for example, monoids, so the study of congruence relations plays a more central role in monoid theory.
7.
Modular arithmetic can be handled mathematically by introducing a congruence relation on the integers that is compatible with the operations on integers : addition, subtraction, and multiplication.
8.
Every congruence relation has a corresponding quotient structure, whose elements are the equivalence classes ( or "'congruence classes "') for the relation.
9.
*PM : congruence relation on an algebraic system, id = 8594 new !-- WP guess : congruence relation on an algebraic system-- Status:
10.
*PM : congruence relation on an algebraic system, id = 8594 new !-- WP guess : congruence relation on an algebraic system-- Status:
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