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A video game walkthrough is a guide aimed towards improving a player's skill within a particular video game and often designed to assist players in completing either an entire video game or specific elements. Walkthroughs may alternatively be set up as a playthrough, where players record themselves playing through a game and upload or live ...
GameFAQs was started as the Video Game FAQ Archive on November 5, 1995, [10] by gamer and programmer Jeff Veasey. The site was created to bring numerous online guides and FAQs from across the internet into one centralized location. [11]
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 faults, he says, are mainly caused by the game publishers' and guide publishers' haste to get their products on to the market; [5] "[previously] strategy guides were published after a game was released so that they could be accurate, even to the point of including information changes from late game 'patch' releases.
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.
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
The nilpotent elements of a commutative ring R form an ideal of R, called the nilradical of R; therefore a commutative ring is reduced if and only if its nilradical is zero. Moreover, a commutative ring is reduced if and only if the only element contained in all prime ideals is zero. A quotient ring R/I is reduced if and only if I is a radical ...
A characteristic similar to that of Jacobson radical and annihilation of simple modules is available for nilradical: nilpotent elements of a ring are precisely those that annihilate all integral domains internal to the ring (that is, of the form / for prime ideals ). This follows from the fact that nilradical is the intersection of all prime ...