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one-sided ideal

См. также в других словарях:

  • Ideal type — Ideal type, also known as pure type or Idealtyp in the original German, is a typological term most closely associated with sociologist Max Weber (1864 1920). An ideal type is formed from characteristics and elements of the given phenomena, but it …   Wikipedia

  • Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… …   Wikipedia

  • Nil ideal — In mathematics, more specifically ring theory, an ideal of a ring is said to be a nil ideal if each of its elements is nilpotent.[1][2] The nilradical of a commutative ring is an example of a nil ideal; in fact, it is the ideal of the ring… …   Wikipedia

  • Maximal ideal — In mathematics, more specifically in ring theory, a maximal ideal is an ideal which is maximal (with respect to set inclusion) amongst all proper ideals.[1][2] In other words, I is a maximal ideal of a ring R if I is an ideal of R, I ≠ R, and… …   Wikipedia

  • Radical of an ideal — In ring theory, a branch of mathematics, the radical of an ideal is a kind of completion of the ideal. There are several special radicals associated with the entire ring such as the nilradical and the Jacobson radical , which isolate certain bad… …   Wikipedia

  • Principal ideal — In ring theory, a branch of abstract algebra, a principal ideal is an ideal I in a ring R that is generated by a single element a of R .More specifically: * a left principal ideal of R is a subset of R of the form R a := { r a : r in R }; * a… …   Wikipedia

  • Annihilator (ring theory) — In mathematics, specifically module theory, annihilators are a concept that formalizes torsionand generalizes torsion and orthogonal complement.DefinitionLet R be a ring, and let M be a left R module. Choose a subset S of M . The annihilator Ann… …   Wikipedia

  • Köthe conjecture — In mathematics, the Köthe conjecture is a problem in ring theory, open as of 2005. It is formulated in various ways. Suppose that R is a ring. One way to state the conjecture is that if R has no nil ideal, other than {0}, then it has no nil one… …   Wikipedia

  • History of Serbia — One of the first Serbian states, Raška, was founded in the first half of the 7th century on Byzantine territory by the Unknown Archont, the founder of the House of Vlastimirović; it evolved into the Serbian Empire under the House of Nemanjić. In… …   Wikipedia

  • Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… …   Wikipedia

  • Christianity — /kris chee an i tee/, n., pl. Christianities. 1. the Christian religion, including the Catholic, Protestant, and Eastern Orthodox churches. 2. Christian beliefs or practices; Christian quality or character: Christianity mixed with pagan elements; …   Universalium

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