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Identifying group of units of monoid to a point

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#abstract-algebra #semigroups #monoid #congruence-relations
258
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If S is finite and $x/\rho$ is an idempotent of $S/\rho$ then $x/ \rho$ contains an idempotent

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#relations #equivalence-relations #semigroups #congruence-relations
6.2k
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“congruence modulo 7” is an equivalence relation on Z. Find three elements in the equivalence class [3].

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#discrete-mathematics #modular-arithmetic #congruence-relations
262
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Congruence relations and congruence modulo m

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#notation #congruence-relations
64
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Polynomial function residues

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#modular-arithmetic #congruence-relations
211
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Fibonacci and Lucas numbers congruence relation?

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#reference-request #fibonacci-numbers #lucas-numbers #congruence-relations
457
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What can we actually do with congruence relations, specifically?

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#abstract-algebra #universal-algebra #motivation #congruence-relations
116
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A modification to the Faro shuffle

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#elementary-number-theory #permutations #congruences #congruence-relations
37
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A simple Congruence Equation

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#modules #congruences #congruence-relations
2.8k
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A set of n integers is a complete residue modulo n if no two elements are congruent mod n.

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#number-theory #proof-verification #congruence-relations
2.5k
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Find the last three digits of $17^{102}$.

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#algebra-precalculus #congruences #congruence-relations
170
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Proof for Product of Congruences mod P

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#modular-arithmetic #congruences #congruence-relations
59
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fine the inverse of $[2]$ and $[23]$ in$ \mathbb{Z}_{41}$

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#inverse #equivalence-relations #congruence-relations
482
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System of congruence relations

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#discrete-mathematics #congruence-relations
3.7k
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Find an integer having the remainders $2,3,4,5$ when divided by $3,4,5,6$, respectively.

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#number-theory #modular-arithmetic #congruence-relations

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