Premium
On Ritt's Factorization of Polynomials
Author(s) -
Beardon A. F.,
Ng T. W.
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610700001046
Subject(s) - mathematics , factorization , invariant (physics) , polynomial , factorization of polynomials , pure mathematics , set (abstract data type) , composition (language) , decomposition , algebra over a field , discrete mathematics , computer science , mathematical analysis , algorithm , matrix polynomial , linguistics , philosophy , mathematical physics , programming language , ecology , biology
Ritt has shown that any complex polynomial p can be written as the composition of polynomials p 1 ,…, p m , where each p j is prime in the sense that it cannot be written as a non‐trivial composition of polynomials. The factors p j are not unique but the number m of them is, as is the set of the degrees of the p j . The paper extends Ritt's theory and, in particular, a third invariant of the decomposition is introduced.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom