Endomorphism ring
Endomorphism ring In abstract algebra, one associates to certain objects a ring, the object's endomorphism ring, which encodes several internal properties of ...
http://en.wikipedia.org/wiki/Endomorphism_ring - 3k - Cached - Similar pages

Endomorphism
Endomorphism In mathematics, an endomorphism is a morphism (or homomorphism) from a ... object to itself. So, for example, an endomorphism of a vector space V is a ... map f : V → V and an endomorphism of a group G is a group ... composite f O g is also an endomorphism of X. Since the identity map ...
http://en.wikipedia.org/wiki/Endomorphism - 2k - Cached - Similar pages

Frobenius endomorphism
Frobenius endomorphism In commutative algebra and field theory, which are branches of mathematics, the Frobenius endomorphism is a special endomorphism of rings with prime characteristic, a class ... in general. Let R be a commutative ring of positive and prime characteristic p (the ... an integral domain, for example). The Frobenius endomorphism F is defined by F(r)= ...
http://en.wikipedia.org/wiki/Frobenius_endomorphism - 13k - Cached - Similar pages

Local ring
Local ring In mathematics, more particularly in abstract algebra ... in 1938. Definition and first consequences A ring R is a local ring if it has one (and therefore all ... unique maximal right ideal and with the ring's Jacobson radical. The third of the ... set of non-units in a local ring forms a (proper) ideal, necessarily contained ...
http://en.wikipedia.org/wiki/Local_ring - 14k - Cached - Similar pages

Ring (mathematics)
Ring (mathematics) In mathematics, a ring is an algebraic structure in which addition ... defined and have properties listed below. A ring is a generalization of the integers, which are one example of a ring. Other examples include the polynomials and the ... abstract algebra which studies rings is called ring theory. Formal definition A ring is ...
http://en.wikipedia.org/wiki/Ring_(mathematics) - 15k - Cached - Similar pages

Ring homomorphism
Ring homomorphism In abstract algebra, a ring homomorphism is a function between two rings ... R and S are rings, then a ring homomorphism is a function f : R → ... condition is dropped.) The composition of two ring homomorphisms is a ring homomorphism. It follows that the class ...
http://en.wikipedia.org/wiki/Ring_homomorphism - 7k - Cached - Similar pages

Division ring
Division ring In abstract algebra, a division ring, also called a skew field, is a ring with 0 ≠ 1 and such that ... is only there to exclude the trivial ring with a single element 0 = 1. Stated differently, a ring is a division ring iff the ...
http://en.wikipedia.org/wiki/Division_ring - 5k - Cached - Similar pages

Category:Ring theory
Category:Ring theory In mathematics, ring theory is the study of rings, algebraic ... The main article for this category is Ring theory. Subcategories There are 5 subcategories to ... Quaternions T Topological rings Pages in category "Ring theory" There are 100 pages in this section of this category. * Ring theory A Algebra (ring theory) Annihilator ( ...
http://en.wikipedia.org/wiki/Category:Ring_theory - 4k - Cached - Similar pages

Algebra (ring theory)
Algebra (ring theory) In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of ... field K is replaced by a commutative ring R. In this article, all rings and ... Formal definition Let R be a commutative ring. An R-algebra is a set ...
http://en.wikipedia.org/wiki/Algebra_(ring_theory) - 9k - Cached - Similar pages

Differentiation of the ring   (translated from Russian)
Differentiation of the ring Differentiation of the ring - mapping &.lt;.matyu&.gt;\.partial&.lt;/.matyu ... in itself, that is appeared by the endomorphism additive gruppy of the ring of &.lt;.matyu&.gt;.K&.lt;/.matyu ...
http://ru.wikipedia.org/wiki/Дифференцирование_кольц� ... - 0k - Cached (Russian) - Wikipedia (Russian) - Similar pages