monoides
1. In abstract algebra and category theory, a set equipped with an associative binary operation and an identity element
In mathematics, the natural numbers under addition form one of the simplest monoids.
Em matemática, os números naturais sob adição formam um dos monoides mais simples.
2. An algebraic structure with one associative binary operation and one identity element, but without requiring inverse elements
Monoids are fundamental structures in computer science, particularly in functional programming and parsing theory.
Monoides são estruturas fundamentais em ciência da computação, particularmente em programação funcional e teoria de análise sintática.
3. A generalization of groups that lacks the requirement for inverse elements
Every group is a monoid, but not every monoid is a group.
Cada grupo é um monoide, mas nem todo monoide é um grupo.
This is highly technical mathematical terminology used exclusively in academic, research, and specialized computer science contexts. It is not part of everyday vocabulary in either English or Portuguese-speaking communities. The term is used identically across different English-speaking regions and Portuguese-speaking countries, as it is part of universal mathematical nomenclature.
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