Search results
Results from the WOW.Com Content Network
A ring R is called a Jacobson ring if the nilradical and Jacobson radical of R/P coincide for all prime ideals P of R. An Artinian ring is Jacobson, and its nilradical is the maximal nilpotent ideal of the ring. In general, if the nilradical is finitely generated (e.g., the ring is Noetherian), then it is nilpotent.
The Baer radical of a ring is the intersection of the prime ideals of the ring R. Equivalently it is the smallest semiprime ideal in R. The Baer radical is the lower radical of the class of nilpotent rings. Also called the "lower nilradical" (and denoted Nil ∗ R), the "prime radical", and the "Baer-McCoy
Video games that primarily or partially take place within the Mesozoic Era (colloquially known as the "Age of Reptiles"), a prehistoric time period marked by the dominance of dinosaurs and spanning between 252 and 66 million years ago.
Nilradical may refer to: Nilradical of a ring; Nilradical of a Lie algebra This page was last edited on 29 December 2019, at 14:36 (UTC). Text is available ...
Evolution: The Game of Intelligent Life is a life simulation and real-time strategy computer game that allows players to experience, guide, and control evolution from an isometric view on either historical earth or on randomly generated worlds while racing against computer opponents to reach the top of the evolution chain, and gradually evolving the player's animals to reach the "grand goal of ...
A / nil(A) is a semisimple ring, where nil(A) is the nilradical of A. [citation needed] Every finitely generated module over A has finite length. (see above) A has Krull dimension zero. [6] (In particular, the nilradical is the Jacobson radical since prime ideals are maximal.) is finite and discrete.
Volition was an American video game developer located in Champaign, Illinois.It was founded in 1993 by programmers Mike Kulas and Matt Toschlog as Parallax Software. The company grew to eight employees while developing its first game, the first-person spaceship shooter Descent (1995), which was released to widespread acclaim.
In algebra, the nilradical of a Lie algebra is a nilpotent ideal, which is as large as possible. The nilradical n i l ( g ) {\displaystyle {\mathfrak {nil}}({\mathfrak {g}})} of a finite-dimensional Lie algebra g {\displaystyle {\mathfrak {g}}} is its maximal nilpotent ideal , which exists because the sum of any two nilpotent ideals is nilpotent.