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Produce solutions such that $k$&$x$ $=$ $k$,in a range ($0$,$n$)

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#binary #binary-operations
237
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Solve an equation with binary rotation and xor

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#systems-of-equations #binary #binary-operations #python
1.4k
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In a finite monoid (M, $\circ$) if the identity element $e$ is the only idempotent element, prove that each element of the monoid is invertible.

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#abstract-algebra #group-theory #monoid #binary-operations #quasigroups
1.3k
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Define a binary operation on the set of even integers which is different from addition,substraction and multiplication

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#binary-operations
1.3k
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Basic problems on Group Theory

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#abstract-algebra #group-theory #abelian-groups #binary-operations
147
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Doubt in a proof of dropping parentheses with associativity

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#abstract-algebra #binary-operations #associativity
85
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how to show that the group $(G,+)$ is abelian

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#abstract-algebra #group-theory #binary-operations
396
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Why quaternions is a group?

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#group-theory #quaternions #binary-operations
930
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Define a binary operation * on the real numbers as $x * y=xy+x+y$ for all real numbers x and y.

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#abstract-algebra #factoring #binary-operations
1.6k
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Determining if the binary operation gives a group structure

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#group-theory #binary-operations
46
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proving identities of a vector space

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#linear-algebra #abstract-algebra #vector-spaces #binary-operations
90
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Semigorup variety, hyperassociativity,idempotentunclear proof of $x^4\approx x^2$

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#semigroups #binary-operations #associativity #hyperoperation
425
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Commutative monoid proof

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#discrete-mathematics #binary-operations
134
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How can I find the neutral element of this algebraic structure

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#abstract-algebra #discrete-mathematics #binary-operations
121
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Hyperidentity, semigroups, bands.

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#semigroups #binary-operations #hyperoperation

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