13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations

13F07 Euclidean rings and generalizations

13F15 Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also <a href="#code:13A05">13A05</a>, <a href="#code:14M05">14M05</a>]

13F20 Polynomial rings and ideals; rings of integer-valued polynomials [See also <a href="#code:11C08">11C08</a>, <a href="#code:13B25">13B25</a>]

13F25 Formal power series rings [See also <a href="#code:13J05">13J05</a>]

13F30 Valuation rings [See also <a href="#code:13A18">13A18</a>]

13F50 Rings with straightening laws, Hodge algebras

13F55 Stanley-Reisner face rings; simplicial complexes [See also <a href="#code:55U10">55U10</a>]

13F99 None of the above, but in this section

13G99 None of the above, but in this section

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also <a href="#code:14M05">14M05</a>]

13H15 Multiplicity theory and related topics [See also <a href="#code:14C17">14C17</a>]

13H99 None of the above, but in this section

13Jxx Topological rings and modules [See also <a href="#code:16W60">16W60</a>, <a href="#code:16W80">16W80</a>]

13J05 Power series rings [See also <a href="#code:13F25">13F25</a>]

13J07 Analytical algebras and rings [See also <a href="#code:32B05">32B05</a>]

13J10 Complete rings, completion [See also <a href="#code:13B35">13B35</a>]

13J15 Henselian rings [See also <a href="#code:13B40">13B40</a>]

13J25 Ordered rings [See also <a href="#code:06F25">06F25</a>]

13J30 Real algebra [See also <a href="#code:12D15">12D15</a>, <a href="#code:14Pxx">14Pxx</a>]

13J99 None of the above, but in this section

13Lxx Applications of logic to commutative algebra [See also <a href="#code:03Cxx">03Cxx</a>, <a href="#code:03Hxx">03Hxx</a>]

13L05 Applications of logic to commutative algebra [See also <a href="#code:03Cxx">03Cxx</a>, <a href="#code:03Hxx">03Hxx</a>]

13L99 None of the above, but in this section

13Mxx Finite commutative rings {For number-theoretic aspects, see <a href="#code:11Txx">11Txx</a>}