to form ideals
1Ascending chain condition on principal ideals — In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two sided ideals of a ring, partially ordered by inclusion. The ascending ascending chain condition on principal… …
2Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… …
3Smith normal form — The Smith normal form is a normal form that can be defined for any matrix (not necessarily square) with entries in a principal ideal domain (PID). The Smith normal form of a matrix is diagonal, and can be obtained from the original matrix by… …
4Killing form — In mathematics, the Killing form, named after Wilhelm Killing, is a symmetric bilinear form that plays a basic role in the theories of Lie groups and Lie algebras. In an example of Stigler s law of eponymy, the Killing form was actually invented… …
5Idealize — I*de al*ize, v. t. [imp. & p. p. {Idealized}; p. pr. & vb. n. {Idealizing}.] 1. To make ideal; to consider as ideal; to give an ideal form or value to; to attribute ideal characteristics and excellences to; as, to idealize real life. [WordNet… …
6Idealized — Idealize I*de al*ize, v. t. [imp. & p. p. {Idealized}; p. pr. & vb. n. {Idealizing}.] 1. To make ideal; to consider as ideal; to give an ideal form or value to; to attribute ideal characteristics and excellences to; as, to idealize real life.… …
7Idealizing — Idealize I*de al*ize, v. t. [imp. & p. p. {Idealized}; p. pr. & vb. n. {Idealizing}.] 1. To make ideal; to consider as ideal; to give an ideal form or value to; to attribute ideal characteristics and excellences to; as, to idealize real life.… …
8idealize — verb ( ized; izing) Date: 1786 intransitive verb 1. to form ideals 2. to work idealistically transitive verb 1. a. to give an ideal form or value to b. to attribute ideal characteristics to < tended to ideali …
9Laurie Ann Haus — Infobox musical artist Name = Laurie Ann Haus Img capt = Img size = Background = Birth name = Alias = Born = Died = Origin = Instrument = Genre = Symphonic metal, neoclassical, doom metal, folk music, industrial metal Occupation = Vocalist Years… …
10Idealities — Ideality I de*al i*ty, n.; pl. {Idealities}. 1. The quality or state of being ideal. [1913 Webster] 2. The capacity to form ideals of beauty or perfection. [1913 Webster] 3. (Phren.) The conceptive faculty. [1913 Webster] …
