mathematics, a near-ring (also near ring or nearring) is an algebraic structure similar to a ring but satisfying fewer axioms. Near-rings arise naturally...

of a ring Simplicial commutative ring Special types of rings: Boolean ring Dedekind ring Differential ring Exponential ring Finite ring Lie ring Local...

science. Over near-rings, one can consider near-ring modules, a nonabelian generalization of modules.[citation needed] Group ring Algebra (ring theory) Module...

mathematics, a near-semiring, also called a seminearring, is an algebraic structure more general than a near-ring or a semiring. Near-semirings arise...

associative algebras and non-associative algebras. Given an integer n, the ring of real square matrices of order n is an example of an associative algebra...

The One Ring, also called the Ruling Ring and Isildur's Bane, is a central plot element in J. R. R. Tolkien's The Lord of the Rings (1954–55). It first...

a near-field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws. Alternatively, a near-field...

mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra...

In mathematics, in particular abstract algebra, a graded ring is a ring such that the underlying additive group is a direct sum of abelian groups R i {\displaystyle...

integers. Ring theory studies the structure of rings; their representations, or, in different language, modules; special classes of rings (group rings, division...

The Lord of the Rings: The Fellowship of the Ring is a 2001 epic high fantasy adventure film directed by Peter Jackson from a screenplay by Fran Walsh...

μ ring. Additional faint dust bands and incomplete arcs may exist between the main rings. The rings are extremely dark—the Bond albedo of the rings' particles...

In algebra, a division ring, also called a skew field (or, occasionally, a sfield), is a nontrivial ring in which division by nonzero elements is defined...

The Lord of the Rings is an epic high fantasy novel by the English author and scholar J. R. R. Tolkien. Set in Middle-earth, the story began as a sequel...

The rings of Jupiter are a system of faint planetary rings. The Jovian rings were the third ring system to be discovered in the Solar System, after those...

In mathematics, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; if the chain condition is satisfied...

Elden Ring is a 2022 Soulslike action role-playing game developed by FromSoftware. It was directed by Hidetaka Miyazaki with worldbuilding provided by...

nonzero commutative ring in which the product of any two nonzero elements is nonzero. Integral domains are generalizations of the ring of integers and provide...

Similar structures without distributive laws are near-rings and near-fields instead of rings and division rings. The operations are usually defined to be distributive...

commutative, is called a division ring (or sometimes skew field). By Wedderburn's little theorem, any finite division ring is commutative, and hence is a...

A fairy ring, also known as fairy circle, elf circle, elf ring or pixie ring, is a naturally occurring ring or arc of mushrooms. They are found mainly...

experience near-death experiences, it is important to treat them in a calm and understanding way right after their return from the NDE. Kenneth Ring (1980)...

"Ring a Ring o' Roses", "Ring a Ring o' Rosie", or (in the United States) "Ring Around the Rosie", is a nursery rhyme, folk song and playground singing...

or near the mean line: x ↦ x*, or x ↦ x∗ (TeX: x^*), but not as "x∗"; see the asterisk article for details. Any commutative ring becomes a *-ring with...

mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center of A. This...

The rings of Saturn are the most extensive and complex ring system of any planet in the Solar System. They consist of countless small particles, ranging...

"noncommutative" means "not necessarily commutative" for noncommutative rings. An algebra is unital or unitary if it has an identity element e with ex...

principal ideal domain, or PID, is an integral domain (that is, a commutative ring without nonzero zero divisors) in which every ideal is principal (that is...

and non-abelian groups are considered, some notable exceptions being near-rings and partially ordered groups, where an operation is written additively...

structure known as a near-ring. Every ring with one is the endomorphism ring of its regular module, and so is a subring of an endomorphism ring of an abelian...