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  Encyclopedia of Keywords > Zero Divisor > Nonzero Element   Michael Charnine

Keywords and Sections
POSITIVE ELEMENT
COMMUTATIVE
SQUARE MATRIX
MULTIPLICATIVE INVERSE
NONZERO ELEMENT
Review of Short Phrases and Links

    This Review contains major "Nonzero Element"- related terms, short phrases and links grouped together in the form of Encyclopedia article.

Positive Element

  1. An ideal of integers which contains a nonzero element contains a least positive element.

Commutative

  1. In other words, a field is a commutative ring with identity in which every nonzero element has an inverse. (Web site)

Square Matrix

  1. Generalized permutation matrix A square matrix with precisely one nonzero element in each row and column. (Web site)

Multiplicative Inverse

  1. The sedenions are an algebra in which every nonzero element has a multiplicative inverse, but which has nonetheless divisors of zero, i.e. (Web site)
  2. A ring or an algebra in which every nonzero element has a multiplicative inverse is called a division ring resp. (Web site)

Nonzero Element

  1. Division ring or skew field A ring in which every nonzero element is a unit and 1≠0 is a division ring.
  2. In abstract algebra, a nonzero element a of a ring is a left zero divisor if there exists a nonzero b such that ab = 0. (Web site)
  3. A field is a commutative ring (F,+,*) in which 0≠1 and every nonzero element has a multiplicative inverse. (Web site)

Categories

  1. Zero Divisor
  2. Skew Field
  3. Multiplicative Inverse
  4. Nonzero
  5. Square Matrix
  6. Books about "Nonzero Element" in Amazon.com

Book: Keywen Category Structure


  Short phrases about "Nonzero Element"
  Originally created: April 04, 2011.
  Links checked: June 08, 2013.
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