Books

Mathematical Sciences Classification System

16Rxx 16-XX 16Txx

16S10

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
16S15

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
16S20

Centralizing and normalizing extensions
3

16S30

Universal enveloping algebras of Lie algebras [See mainly 17B35]
1

16S32

Rings of differential operators [See also 13N10, 32C38]
18

16S34

Group rings [See also 20C05, 20C07], Laurent polynomial rings
2

16S35

Twisted and skew group rings, crossed products
2

16S36

Ordinary and skew polynomial rings and semigroup rings [See also 20M25]
3

16S37

Quadratic and Koszul algebras
5

16S38

Rings arising from non-commutative algebraic geometry [See also 14A22]
2

16S40

Smash products of general Hopf actions [See also 16T05]
7

16S50

Endomorphism rings; matrix rings [See also 15-XX]
16S60

Rings of functions, subdirect products, sheaves of rings
16S70

Extensions of rings by ideals
2

16S80

Deformations of rings [See also 13D10, 14D15]
16S85

Rings of fractions and localizations [See also 13B30]
2

16S90

Torsion theories; radicals on module categories [See also 13D30, 18E40] {For radicals of rings, see 16Nxx}
16S99

None of the above, but in this section