mathematics, a product of rings or direct product of rings is a ring that is formed by the Cartesian product of the underlying sets of several rings (possibly...
6 KB (826 words) - 21:21, 25 February 2023
product (or knit product), a generalization of the direct and semidirect products Product of rings Ideal operations, for product of ideals Scalar multiplication...
2 KB (246 words) - 09:32, 23 May 2024
underlying rings are graded-commutative rings, the tensor product A ⊗ R B {\displaystyle A\otimes _{R}B} becomes a graded commutative ring by defining...
6 KB (1,061 words) - 23:33, 3 September 2023
ideas of algebraic number theory and algebraic geometry. The simplest commutative rings are those that admit division by non-zero elements; such rings are...
99 KB (13,682 words) - 13:16, 11 April 2024
number rings to the setting of polynomial rings and other commutative rings by David Hilbert and especially Emmy Noether. For an arbitrary ring ( R , +...
39 KB (6,837 words) - 17:06, 14 April 2024
semidirect product, knit product and wreath product the free product of groups the product of rings the product of ideals the product of topological...
16 KB (2,518 words) - 12:27, 9 April 2024
number of fundamental properties of commutative rings that do not extend to noncommutative rings. A ring is a set R {\displaystyle R} equipped with two...
41 KB (5,655 words) - 15:25, 12 December 2023
regular rings, group rings, rings of formal power series, Ore polynomials, graded rings, have been introduced for generalizing some properties of polynomial...
51 KB (8,164 words) - 04:26, 1 April 2024
Pushout (category theory) (redirect from Cofiber product)
the colimit of a span and the pullback is the limit of a cospan, we can think of the tensor product of rings and the fibered product of rings (see the examples...
13 KB (1,947 words) - 16:17, 14 September 2023
mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (that...
14 KB (1,814 words) - 01:52, 26 March 2024