About: Rings and algebras arising under various constructions

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Associative rings and algebras
narrower concept	Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) Centralizing and normalizing extensions Universal enveloping algebras of Lie algebras Rings of differential operators Group rings , Laurent polynomial rings Twisted and skew group rings, crossed products Ordinary and skew polynomial rings and semigroup rings Quadratic and Koszul algebras Rings arising from non-commutative algebraic geometry Smash products of general Hopf actions Endomorphism rings; matrix rings Rings of functions, subdirect products, sheaves of rings Extensions of rings by ideals Deformations of rings Rings of fractions and localizations Torsion theories; radicals on module categories None of the above, but in MSC2010 section 16Sxx
skos:prefLabel	Rings and algebras arising under various constructions Anelli ed algebre che emergono da costruzioni varie 各种构造下的环与代数
skos:exactMatch	http://msc2010.org/resources/MSC/1991/16Sxx http://msc2010.org/resources/MSC/2000/16Sxx
skos:notation	16Sxx
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-512.4
is broader concept of	Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) Centralizing and normalizing extensions Universal enveloping algebras of Lie algebras Rings of differential operators Group rings , Laurent polynomial rings Twisted and skew group rings, crossed products Ordinary and skew polynomial rings and semigroup rings Quadratic and Koszul algebras Rings arising from non-commutative algebraic geometry Smash products of general Hopf actions Endomorphism rings; matrix rings Rings of functions, subdirect products, sheaves of rings Extensions of rings by ideals Deformations of rings Rings of fractions and localizations Torsion theories; radicals on module categories None of the above, but in MSC2010 section 16Sxx
is narrower concept of	Associative rings and algebras

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