bất khả quy
Definition
- Adjective:
- Irreducible: A fundamental concept in mathematics, particularly in algebra and number theory, describing an element (like a polynomial or an integer) that cannot be factored into non-trivial factors within a given set or ring. It is the essential building block for factorization.
Usage Examples
- Adjective:
- Đa thức này là bất khả quy trên trường số thực. (This polynomial is irreducible over the field of real numbers.)
- Trong vành số nguyên, số 7 là một phần tử bất khả quy. (In the ring of integers, the number 7 is an irreducible element.)
Advanced Usage
- The term is primarily used in formal, academic contexts related to abstract algebra, ring theory, and polynomial analysis.
- "Phương trình bất khả quy": irreducible equation.
- Việc giải phương trình bất khả quy đòi hỏi phương pháp đặc biệt. (Solving an irreducible equation requires special methods.)
Variants and Related Words
- Sự bất khả quy (n): irreducibility.
- Sự bất khả quy của đa thức đã được chứng minh. (The irreducibility of the polynomial has been proven.)
Synonyms
- Irreducible: Not able to be reduced or simplified further; the direct and primary equivalent.
- Prime (in certain contexts, like ring theory): An element with the property that if it divides a product, it must divide one of the factors. Note: While related, "prime" and "irreducible" are not always identical concepts in all algebraic structures.
Related Concepts
- Phân tích thành nhân tử: factorization.
- Đa thức: polynomial.
- Vành: ring (algebraic structure).