Namespaces
Variants
Actions

Difference between revisions of "Linearised polynomial"

From Encyclopedia of Mathematics
Jump to: navigation, search
m (Added category TEXdone)
(also additive polynomial)
 
Line 1: Line 1:
{{TEX|done}}
+
{{TEX|done}}{{MSC|12E10}}
{{MSC|12E10}}
+
 
 +
''additive polynomial''
  
 
A [[polynomial]] over a [[field]] of [[Characteristic of a field|characteristic]] $p \ne 0$ in which all monomials have exponents which are powers of $p$:
 
A [[polynomial]] over a [[field]] of [[Characteristic of a field|characteristic]] $p \ne 0$ in which all monomials have exponents which are powers of $p$:

Latest revision as of 19:48, 1 January 2015

2020 Mathematics Subject Classification: Primary: 12E10 [MSN][ZBL]

additive polynomial

A polynomial over a field of characteristic $p \ne 0$ in which all monomials have exponents which are powers of $p$: $$ L(X) = \sum_{i=0}^d a_i X^{p^i} \ . $$ Such polynomials are additive: $L(x+y) = L(x) + L(y)$.

How to Cite This Entry:
Linearised polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linearised_polynomial&oldid=31044