**semiprimitive** — adj. * * * … Universalium

**semiprimitive** — adjective Describing a generalization of a semisimple ring … Wiktionary

**semiprimitive** — adj. somewhat primitive, having some primitive qualities … English contemporary dictionary

**semiprimitive** — sem i•prim′i•tive adj … From formal English to slang

**semiprimitive** — adj … Useful english dictionary

**Semiprimitive ring** — In mathematics, especially in the area of algebra known as ring theory, a semiprimitive ring is a type of ring more general than a semisimple ring, but where simple modules still provide enough information about the ring. Important rings such as… … Wikipedia

**Semisimple module** — In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts. A ring which is a semisimple module over… … Wikipedia

**Von Neumann regular ring** — In mathematics, a ring R is von Neumann regular if for every a in R there exists an x in R with : a = axa .One may think of x as a weak inverse of a ; note however that in general x is not uniquely determined by a .(The regular local rings of… … Wikipedia

**Singular submodule** — In the branches of abstract algebra known as ring theory and module theory, each right (resp. left) R module M has a singular submodule consisting of elements whose annihilators are essential right (resp. left) ideals in R. In set notation it is… … Wikipedia

**Jacobson radical** — In ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is an ideal of R which contains those elements of R which in a sense are close to zero . DefinitionThe Jacobson radical is denoted by J( R ) and can be defined in the… … Wikipedia

**List of abstract algebra topics** — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this … Wikipedia