monoid algebra
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Monoid — berührt die Spezialgebiete Mathematik Abstrakte Algebra Gruppentheorie Theoretische Informatik Automatentheorie ist Spezialfall von Magma (Mathematik) (Axiom … Deutsch Wikipedia
Monoid — This article is about the mathematical concept. For the alien creatures in the Doctor Who adventure, see The Ark (Doctor Who). Coherence law for monoid unit In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a… … Wikipedia
Algebra — This article is about the branch of mathematics. For other uses, see Algebra (disambiguation). Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from… … Wikipedia
Monoid (category theory) — In category theory, a monoid (or monoid object) (M,μ,η) in a monoidal category is an object M together with two morphisms called multiplication, and called unit, such that the diagrams and … Wikipedia
Monoid ring — In abstract algebra, a monoid ring is a new ring constructed from some other ring and a monoid. Definition Let R be a ring and G be a monoid. Consider all the functions φ : G → R such that the set {g: φ(g) ≠ 0} is finite. Let all such… … Wikipedia
Algebra (ring theory) — In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R .Any ring can be thought of as an algebra… … Wikipedia
Monoid-Homomorphismus — Ein Homomorphismus (aus dem Griechischen, homós : gleich; morphé : Form), ist eine strukturerhaltende Abbildung. Inhaltsverzeichnis 1 Allgemeine mathematische Definition 2 Homomorphismen in einigen algebraischen Strukturen 2.1… … Deutsch Wikipedia
Freies Monoid — Monoid berührt die Spezialgebiete Mathematik Abstrakte Algebra Gruppentheorie Theoretische Informatik Automatentheorie ist Spezialfall von Magma ( … Deutsch Wikipedia
Refinement monoid — In mathematics, a refinement monoid is a commutative monoid M such that for any elements a0, a1, b0, b1 of M such that a0+a1=b0+b1, there are elements c00, c01, c10, c11 of M such that a0=c00+c01, a1=c10+c11, b0=c00+c10, and b1=c01+c11. A… … Wikipedia
Graded algebra — In mathematics, in particular abstract algebra, a graded algebra is an algebra over a field (or commutative ring) with an extra piece of structure, known as a gradation (or grading ). Graded rings A graded ring A is a ring that has a direct sum… … Wikipedia
Allgemeine Algebra — Der Begriff algebraische Struktur, missverständlich auch „universelle Algebra“, „allgemeine Algebra“ oder „Algebra“ genannt, bezeichnet ein mathematisches Objekt. Das Synonym allgemeine Algebra bezeichnet gleichzeitig auch den Teilbereich der… … Deutsch Wikipedia
