In abstract algebra, an ordered ring is a (usually commutative) ring R with a total order ≤ such that for all a, b, and c in R: if a ≤ b then a + c ≤ b...

In abstract algebra, a partially ordered ring is a ring (A, +, ·), together with a compatible partial order, that is, a partial order ≤ {\displaystyle...

absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to...

ring Local ring Noetherian and artinian rings Ordered ring Poisson ring Reduced ring Regular ring Ring of periods SBI ring Valuation ring and discrete...

targets Ordered ring – ring with a compatible total orderPages displaying wikidata descriptions as a fallback Ordered topological vector space Ordered vector...

structure Ordered ring – ring with a compatible total orderPages displaying wikidata descriptions as a fallback Ordered topological vector space Ordered vector...

ordering is an ordered ring. The integers are the only nontrivial totally ordered abelian group whose positive elements are well-ordered. This is equivalent...

dimension of a commutative ring is the maximal length of chains of prime ideals. "Chain" may also be used for some totally ordered subsets of structures that...

properties of a number. A number system that bears the structure of an ordered ring contains a unique number that when added with any number leaves the latter...

rights to The Lord of the Rings in November 2017 and made a multi-season commitment for a new series. A second season was ordered in November 2019, and writing...