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Why Semigroups Are Important?

Let’s learn why Semigroups Are Important. The most accurate or helpful solution is served by Mathoverflow. If neither of the proposed solutions works for you, please see 6 additional links below.

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Why semigroups could be important?

There is known a lot about the use of groups -- they just really appear a lot, and appear naturally. Is there any known nice use of semigroups in Maths to sort of prove they are indeed important in Mathematics? I understand that it is a research question, but may be somebody can hint me the direction to look on so that I would see sensibility of semigroups, if you see what I mean (so some replies like look for wikipedia are not working as they are anti-answers).

Answer:

Semigroups provide a fundamental, algebraic tool in the analysis of regular languages and finite automata...

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Victor at Mathoverflow Mark as irrelevant Undo

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Can anyone explain Rodseth's algorithm for numerical semigroups in easy language?

Answer:

Rodseth's algorithm is used to compute the Frobenius number [math]g(a,b,c)[/math], which is defined...

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Sujith Vijay at Quora Mark as irrelevant Undo

What is the importance of semigroups in computer science?

Answer:

A semigroup is an underlying set S with an arrow m that takes the cartesian product SxS to another value...

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Alan Garcia at Quora Mark as irrelevant Undo

Pliz help me, I have Set theory, Relations and Groups Problems?

A1. Determine whether the relation xRy where xRy means there exists an integer n such that x=2n y is an equivalence relation. Is the relation antisymmetric? A2. Define an operation * on R by x*y=xy +1. Show that * is commutative but not associative....

Answer:

i will help you with some.. . . 2 .. . . x*y = xy + 1 while y*x = yx + 1 = xy + 1 ... thus the relation...

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alberto m at Yahoo! Answers Mark as irrelevant Undo

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