Primitive ideal information

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...

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...

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 ,...

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...

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...

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

Primitive communism is a way of describing the gift economies of hunter-gatherers throughout history, where resources and property hunted or gathered...

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...

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...

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

(or simply the spectrum) of a commutative ring R is the set of all prime ideals of R, and is usually denoted by Spec ⁡ R {\displaystyle \operatorname {Spec}...

likely advantageous because it allowed males to father more children. Primitive promiscuity or original promiscuity was the 19th-century hypothesis that...

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

unclear, but two main theories exist. Firstly, Giardia may be extremely primitive eukaryotes that branched off early from other members of their group....

was well over £2,000,000, although the accounting procedures were too primitive to give an accurate total. Adding it all up, approximately 35% came from...

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

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...