mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (that...
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mathematics, a ring homomorphism is a structure-preserving function between two rings. More explicitly, if R and S are rings, then a ring homomorphism is...
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examples include Set, the category of sets and set functions; Ring, the category of rings and ring homomorphisms; and Top, the category of topological spaces...
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theory of algebraic geometry. Note: In the definition of a ringed space, most expositions tend to restrict the rings to be commutative rings, including...
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of the category of modules.) Category of rings Derived category Module spectrum Category of graded vector spaces Category of abelian groups Category of...
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ideas of algebraic number theory and algebraic geometry. The simplest commutative rings are those that admit division by non-zero elements; such rings are...
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in the category of rings. Since direct products are defined up to an isomorphism, one says colloquially that a ring is the product of some rings if it...
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Kampen theorem of algebraic topology (see below). In CRing, the category of commutative rings (a full subcategory of the category of rings), the pushout...
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Module (mathematics) (redirect from Module over a ring)
is a module category in the old sense over the commutative ring OX(X). One can also consider modules over a semiring. Modules over rings are abelian groups...
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The Lord of the Rings is a trilogy of epic fantasy adventure films directed by Peter Jackson, based on the novel The Lord of the Rings by British author...
125 KB (12,897 words) - 15:08, 23 August 2024