Ring theory

ring in which every ideal is principal

concept in module theory

abelian group related to division algebras

polynomial that only takes on integer values when evaluated at an integer

Z-module homomorphism

In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element; in other words, (r − 1)n is zero for some n.

equivalence relation on rings

mathematical property shared by many number systems, that a product cannot be zero unless one of its factors is zero

integral domain that is a certain kind of intersection of discrete valuation rings

algebraic integer of a given quadratic field

Mathematical concept

homology theory for associative algebras over rings

category of rings and ring homomorphisms

free object in the category of associative algebras

generalizations of prime ideals and prime rings

Mathematical concept named for Ernst Witt

concept in ring theory

homological property of mathematical rings

ring whose ideals are projective

proper ideal of a commutative ring that is not the intersection of two strictly larger ideals

abstract ring with finite number of elements

mathematical domain whose elements share lowest common multiples

module over a ring such that zero is the only element annihilated by a regular element of the ring

ring in algebra

concept in ring theory

conditions that allow to localize noncommutative rings

In mathematics, a near-ring (also near ring or nearring) is an algebraic structure similar to a ring but satisfying fewer axioms. Near-rings arise naturally from functions on groups.

algebraic structure

algebraic structure

positional numeral system with signed digits; the representation may not be unique

ring such that all its localizations have Krull dimension equal to the minimal number of generators of the maximal ideal

subring consisting of elements that commute with any element

rings admitting weak inverses

mathematical construction in ring theory

open Problem in Ring Theory (Mathematics)