primitive ideal is the annihilator of a (nonzero) simple left module. A right primitive ideal is defined similarly. Left and right primitive ideals are...

number, together with the zero ideal. Primitive ideals are prime, and prime ideals are both primary and semiprime. An ideal P of a commutative ring R is...

element. Finitely generated ideal: This type of ideal is finitely generated as a module. Primitive ideal: A left primitive ideal is the annihilator of a simple...

in terms of the primitive spectrum . The primitive spectrum of A is the set of primitive ideals Prim(A) of A, where a primitive ideal is the kernel of...

left primitive rings is as follows: a ring is left primitive if and only if there is a maximal left ideal containing no nonzero two-sided ideals. The...

that every prime ideal is an intersection of primitive ideals. For commutative rings primitive ideals are the same as maximal ideals so in this case a...

annihilators of simple left modules. An ideal that is the annihilator of a simple module is known as a primitive ideal, and so a reformulation of this states...

architecture. The idea of The Primitive Hut contends that the ideal architectural form embodies what is natural and intrinsic. The Primitive Hut as an architectural...

(algebra) Ring ideal Principal ideal Ideal quotient Maximal ideal, minimal ideal Primitive ideal, prime ideal, semiprime ideal Radical of an ideal Jacobson...

particular, the dual of a locally compact group is defined to be the primitive ideal space of the group C*-algebra. See spectrum of a C*-algebra. Von Neumann...

Primitive communism is an attempt to describe the gift economies of hunter-gatherers throughout history, where resources and property hunted or gathered...

unique factorization of ideals. In particular, many Z [ ζ p ] , {\displaystyle \mathbb {Z} [\zeta _{p}],} for the primitive p-th root of unity ζ p ,...

for the primitive church, believing that any deviation from that blueprint would keep one from being part of the true church.: 68  The ideal of restoring...

definition of primitive, as, over a unique factorization domain that is not a principal ideal domain, there are polynomials that are primitive in the above...

An Ideal for Living is the first EP by the English post-punk band Joy Division. It was released on 3 June 1978 by the band's own label, Enigma, shortly...

Studies in the Epistle to the Hebrews Christian Ministry After the Primitive Ideal Our Sacred Books: Short Chapters on Inspiration, Transmission, and...

the regular maximal right (or left) ideals of R. J(R) is the intersection of all the right (or left) primitive ideals of R. J(R) is the maximal right (or...

object-representation, with the primitive form of ego-ideal." In a literary context, Harold Bloom argued that "in the narcissist, the ego-ideal becomes inflated and...

The Ancient and Primitive Rite of Memphis-Misraïm is a masonic rite combining esoteric spirituality with humanitarian ideals. Created in Naples in September...

ring is primitive. Primitive rings are prime. 2.  An ideal I of a ring R is said to be primitive if R/I is primitive. principal A principal ideal : A principal...

Primitive Quendian, called Quenderin in Quenya. Among the Eldar, i.e. those Elves who undertook the Great March to Valinor and Eldamar, Primitive Quendian...

centrally primitive. Working inductively, one can attempt to decompose 1 into a sum of centrally primitive elements. If 1 is centrally primitive, we are...

possible offices and individual situations are multiplied, breaking the primitive ideal of the "trinitarian society" (politicians, the military and agriculturists)...

The difference between the two families was their adhesion to the primitive ideal of Franciscan poverty and simplicity; the Conventuals accepted revenues...

"noble" savage symbolizes the innate goodness and moral superiority of a primitive people living in harmony with Nature. In the heroic drama of the stageplay...

International Congress of Mathematicians in Berkeley (Nilpotent orbits, primitive ideals and characteristic classes – a survey). Borho, Walter (1972). "On Thabit...

is a linguistic theory that reduces lexicons down to a set of semantic primitives. It is based on the conception of Polish professor Andrzej Bogusławski...

powers of a single element called a primitive element of the field. (In general there will be several primitive elements for a given field.) The simplest...

representations, or at least primitive ideals, can be thought of as “non-commutative points”. As it turned out, starting from, say, primitive spectra, it was not...

In mathematics, the Jacobian ideal or gradient ideal is the ideal generated by the Jacobian of a function or function germ. Let O ( x 1 , … , x n ) {\displaystyle...