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Necessary condition for left simple semigroup with an idempotent

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#semigroups #finite-semigroups
59
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Idempotent endomorphism on finite monogenic monoid onto its subgroup

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#group-theory #semigroups #monoid #finite-semigroups #semigroup-homomorphism
91
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A question on Finite Semigroup

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#abstract-algebra #semigroups #binary-operations #finite-semigroups
376
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How many non-isomorphic semigroups are there of orders $2$ and $3$?

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#finite-semigroups
124
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A question about a semigroup with two elements

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#abstract-algebra #semigroups #idempotents #finite-semigroups
318
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Subsemigroup generated by an element contains unique idempotent

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#semigroups #idempotents #finite-semigroups
115
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In a finite semigroup, does each ideal (esp. the minimal ideal) have an idempotent?

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#semigroups #idempotents #finite-semigroups
133
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Is any finite semigroup of this type a left monoid?

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#abstract-algebra #semigroups #finite-semigroups
538
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Let $(S,*)$ be a finite semigroup with identity. Prove that $S$ is a group iff $S$ has only one element $x$ such that $x^2=x$.

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#group-theory #solution-verification #semigroups #monoid #finite-semigroups
507
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Showing star-freeness of recursively defined languages

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#automata #regular-language #monoid #regular-expressions #finite-semigroups
128
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The rank of a semigroup

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#semigroups #finite-semigroups
58
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Rank of the finite semigroup

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#semigroups #finite-semigroups
119
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Finite Semigroups property

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#finite-semigroups
80
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When do $2\times2$ matrices generate a finite semigroup?

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#linear-algebra #matrices #linear-transformations #semigroups #finite-semigroups
47
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On the rank of finite semigroups

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#semigroups #finite-semigroups

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