16Sxx Rings and algebras arising under various constructions
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
16S30 Universal enveloping algebras of Lie algebras See mainly{
17B35}
16S32 Rings of differential operators, See also {13N10, 32C38}
16S34 Group rings, See also {20C05, 20C07}, Laurent polynomial
rings
16S35 Twisted and skew group rings, crossed products
16S36 Ordinary and skew polynomial rings and semigroup rings, See
also {20M25}
16S40 Smash products of general Hopf actions, See also {16W30}
16S50 Endomorphism rings: matrix rings, See also {15-XX}
16S60 Rings of functions, subdirect products, sheaves of rings
16S70 Extensions of rings by ideals
16S80 Deformations of rings, See also {14D15}
16S90 Maximal ring of quotients, 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