irreducibility Sentence Examples

  1. The irreducibility of certain polynomials is essential in understanding the structure of mathematical rings.
  2. In algebraic number theory, the irreducibility of certain integers is crucial for the solution of Diophantine equations.
  3. The irreducibility of quadratic equations over finite fields plays a significant role in coding theory.
  4. In computer science, the irreducibility of polynomials is used in the construction of error-correcting codes.
  5. The irreducibility of certain polynomials is important in the design of cryptographic algorithms.
  6. In pure mathematics, the irreducibility of certain objects is a fundamental property that often leads to deep results.
  7. The irreducibility of polynomials in several variables is a challenging problem that has been studied by mathematicians for many years.
  8. The irreducibility of certain algebraic structures is important for understanding their representation theory.
  9. The irreducibility of modules over rings is a crucial concept in homological algebra.
  10. The irreducibility of characters of finite groups is important in group theory and related areas of mathematics.

irreducibility Meaning

Webster

irreducibility (n.)

The state or quality of being irreducible.

FAQs About the word irreducibility

The state or quality of being irreducible.

smaller, smallest, minor,small, fewest, fewer, tiniest, littlest, slight,lesser

most, highest, most,highest, top, utmost,greatest, maximum, biggest, top

The irreducibility of certain polynomials is essential in understanding the structure of mathematical rings.

In algebraic number theory, the irreducibility of certain integers is crucial for the solution of Diophantine equations.

The irreducibility of quadratic equations over finite fields plays a significant role in coding theory.

In computer science, the irreducibility of polynomials is used in the construction of error-correcting codes.