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...
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of a ring Simplicial commutative ring Special types of rings: Boolean ring Dedekind ring Differential ring Exponential ring Finite ring Lie ring Local...
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Module (mathematics) (redirect from Module over a ring)
science. Over near-rings, one can consider near-ring modules, a nonabelian generalization of modules.[citation needed] Group ring Algebra (ring theory) Module...
22 KB (2,966 words) - 06:20, 18 October 2024
Algebra over a field (redirect from Algebra over a commutative ring)
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...
22 KB (2,935 words) - 02:08, 13 August 2024
mathematics, a near-semiring, also called a seminearring, is an algebraic structure more general than a near-ring or a semiring. Near-semirings arise...
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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...
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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...
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integers. Ring theory studies the structure of rings; their representations, or, in different language, modules; special classes of rings (group rings, division...
24 KB (3,093 words) - 04:03, 3 October 2024
mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra...
41 KB (5,655 words) - 15:25, 12 December 2023
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...
11 KB (1,465 words) - 14:46, 13 October 2024