16L99 None of the above, but in this section

16Nxx Radicals and radical properties of rings

16N40 Nil and nilpotent radicals, sets, ideals, rings

16N60 Prime and semiprime rings [See also <a href="#code:16D60">16D60</a>, <a href="#code:16U10">16U10</a>]

16N80 General radicals and rings {For radicals in module categories, see <a href="#code:16S90">16S90</a>}

16N99 None of the above, but in this section

16Pxx Chain conditions, growth conditions, and other forms of finiteness

16P10 Finite rings and finite-dimensional algebras {For semisimple, see <a href="#code:16K20">16K20</a>; for commutative, see <a href="#code:11Txx">11Txx</a>, <a href="#code:13Mxx">13Mxx</a>}

16P50 Localization and Noetherian rings [See also <a href="#code:16U20">16U20</a>]

16P60 Chain conditions on annihilators and summands: Goldie-type conditions [See also <a href="#code:16U20">16U20</a>], Krull dimension

16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence

16P90 Growth rate, Gelfand-Kirillov dimension

16P99 None of the above, but in this section

16R10 $T$-ideals, identities, varieties of rings and algebras

16R20 Semiprime p.i. rings, rings embeddable in matrices over commutative rings

16R40 Identities other than those of matrices over commutative rings

16R50 Other kinds of identities (generalized polynomial, rational, involution)

16R99 None of the above, but in this section

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 <a href="#code:17B35">17B35</a>]

16S32 Rings of differential operators [See also <a href="#code:13N10">13N10</a>, <a href="#code:32C38">32C38</a>]

16S34 Group rings [See also <a href="#code:20C05">20C05</a>, <a href="#code:20C07">20C07</a>], Laurent polynomial rings