simple homomorphism

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• Simple module — In abstract algebra, a (left or right) module S over a ring R is called simple or irreducible if it is not the zero module 0 and if its only submodules are 0 and S . Understanding the simple modules over a ring is usually helpful because these… …   Wikipedia

• Simple Lie group — Lie groups …   Wikipedia

• Simple algebra — In mathematics, specifically in ring theory, an algebra is simple if it contains no non trivial two sided ideals and the set { ab | a , b are elements of the algebra} ne; {0}.The second condition in the definition precludes the following… …   Wikipedia

• Simple (abstract algebra) — In mathematics, the term simple is used to describe an algebraic structures which in some sense cannot be divided by a smaller structure of the same type. Put another way, an algebraic structure is simple if the kernel of every homomorphism is… …   Wikipedia

• Algebra homomorphism — A homomorphism between two algebras over a field K , A and B , is a map F:A ightarrow B such that for all k in K and x , y in A ,* F ( kx ) = kF ( x )* F ( x + y ) = F ( x ) + F ( y )* F ( xy ) = F ( x ) F ( y )If F is bijective then F is said to …   Wikipedia

• Classification of finite simple groups — Group theory Group theory …   Wikipedia

• 0,1-simple lattice — In lattice theory, a bounded lattice L is called a 0,1 simple lattice if nonconstant lattice homomorphisms of L preserve the identity of its top and bottom elements. That is, if L is 0,1 simple and ƒ is a function from L to some other lattice… …   Wikipedia

• Lie group — Lie groups …   Wikipedia

• Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

• Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …   Wikipedia

• Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… …   Wikipedia