ring R {\displaystyle R} and an ideal I {\displaystyle I} in it, the n-th symbolic power of I {\displaystyle I} is the ideal I ( n ) = ⋂ P ∈ Ass ⁡ ( R /...

smallest P-primary ideal containing Pn is called the nth symbolic power of P. If P is a maximal prime ideal, then any ideal containing a power of P is P-primary...

{\mathfrak {q}}} -primary ideal called the n-th symbolic power of q {\displaystyle {\mathfrak {q}}} . It forms a descending chain of ideals A ⊃ q ⊃ q ( 2 ) ⊃...

kind of generating set of an ideal in a polynomial ring K[x1, ..., xn] over a field K. A Gröbner basis allows many important properties of the ideal and...

ideal. The radical of a differential ideal is the same as its radical as an algebraic ideal, that is, the set of the ring elements that have a power in...

it is an order ideal (prime order ideal, maximal order ideal) of the Boolean algebra. The quotient ring of a Boolean ring modulo a ring ideal corresponds...

domain. If I is a p-primary ideal (for example, a symbolic power of p), then p is the unique minimal prime ideal over I. The ideals ( x ) {\displaystyle (x)}...

holder of symbolic capital uses the power this confers against an agent who holds less, and seeks thereby to alter their actions, they exercise symbolic violence...

Book 13 of the Mahabharata. Rita Gross states, that the view of Parvati only as ideal wife and mother is incomplete symbolism of the power of the feminine...

occur. The morally-negative action of elimination is justified by a positive goal of symbolic rebirth in which all ideals are realised. It will occur only...

considered in both the symbolic and biological sense. Symbolically, blanqueamiento represents an ideology that emerged from legacies of European colonialism...

society's perceptions about the ideal life, and to the institutionalized means, which are the legitimate means through which an individual may aspire to the...

construction camp at the bottom of the canyon or for a spillway. The Service investigated Black Canyon and found it ideal; a railway could be laid from...

powers of prime ideals). The theorem was first proven by Emanuel Lasker (1905) for the special case of polynomial rings and convergent power series rings...

Corner of the Cannes Film Festival 2011. Make a Wish is a dramatic comedy with dark undertones. It's a simple cautionary tale which is symbolic for how...

we have a ∧ x in I. This notion of ideal coincides with the notion of ring ideal in the Boolean ring A. An ideal I of A is called prime if I ≠ A and if...

up to Clear was called the "Class V auditor course". Ideal org An Ideal Org is a special class of Class V org where a new large building has been acquired...

the 17th century. Vanitas art is a type of allegorical art representing a higher ideal. It was a sub-genre of painting heavily employed by Dutch painters...

computer programming, assembly language (alternatively assembler language or symbolic machine code), often referred to simply as assembly and commonly abbreviated...

Macsyma (/ˈmæksɪmə/; "Project MAC's SYmbolic MAnipulator") is one of the oldest general-purpose computer algebra systems still in wide use. It was originally...

habit of wearing black and white for the rest of her life. They were among the permitted colours of mourning and the symbolic colours of the sides of the...

social order was symbolically turned on its head. Gluckman argued that the ritual was an expression of underlying social tensions (an idea taken up by...

more as an artistic symbolic personification rather than as an actual deity with religious significance. [citation needed] The personification of justice...

containing only resistors and ideal current and voltage sources. Analysis of resistive networks is less complicated than analysis of networks containing capacitors...

mares, aspects of the waves, possess the power to regulate the tides, calm the swell and the waves. Another leads the fish. This symbolic association continues...

n-th symbolic power of a prime ideal in a polynomial ring is the intersection of the n-th powers of the maximal ideals containing the prime ideal. 6.  The...

of roads, bridges, government buildings, large public housing complexes and the symbolic Humboldt Hotel & Tramway overlooking Caracas. The economy of...

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

character and appears in a new symbolic form, representing the Self". Jung's theory of anima and animus draws from his theory of individuation. In order for...

of recording and practical science. A system of writing. Development of symbolic art. Trade and import of raw materials. Specialist craftsmen from outside...