Semigroup theory

Presentation of a monoid

In algebra, a presentation of a monoid (or a presentation of a semigroup) is a description of a monoid (or a semigroup) in terms of a set Σ of generators and a set of relations on the free monoid Σ∗ (or the free semigroup Σ+) generated by Σ. The monoid is then presented as the quotient of the free monoid (or the free semigroup) by these relations. This is an analogue of a group presentation in group theory. As a mathematical structure, a monoid presentation is identical to a string rewriting system (also known as a semi-Thue system). Every monoid may be presented by a semi-Thue system (possibly over an infinite alphabet). A presentation should not be confused with a representation. (Wikipedia).

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Categories 6 Monoidal categories

This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super

From playlist Categories for the idle mathematician

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From playlist Geometry of Frobenioids

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Classify Polynomials

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From playlist New Algebra Playlist

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Help us caption & translate this video! http://amara.org/v/FG72/

From playlist Nickel City Ruby 2013

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From playlist Seminar on Geometric and Modular Representation Theory

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From playlist Microeconomics modules

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From playlist From PhD to PhD: A Conference Mapping the Network on Lebanese Mathematics - June 1-3, 2021

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Sam Gunningham: Character stacks and (q−)geometric representation theory

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From playlist Algebraic and Complex Geometry

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From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.

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From playlist Mathematics

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From playlist Real Analysis

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From playlist Seminar on Geometric and Modular Representation Theory

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Wagner congruence | Binary relation | Ronald V. Book | Equivalence relation | Plactic monoid | Congruence relation | Free monoid | Algebra | Semigroup | Group theory | Binary function | Monoid | Representation theory