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1990
A ring R is a generalization of a field. It has operations of addition and multiplication, and R must be an abelian group under addition (just as for a field). However, the only requirement for multiplication is that it distribute over addition: $$ a(b + c) = ab + ac, and (a + b)c = ac + bc. $$ (1)
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A ring R is a generalization of a field. It has operations of addition and multiplication, and R must be an abelian group under addition (just as for a field). However, the only requirement for multiplication is that it distribute over addition: $$ a(b + c) = ab + ac, and (a + b)c = ac + bc. $$ (1)
openaire +1 more source
Parametric Solvable Polynomial Rings and Applications
Computer Algebra in Scientific Computing, 2015Heinz Kredel
semanticscholar +1 more source
On Automorphisms of Polynomial Rings
Bulletin of the London Mathematical Society, 1982openaire +2 more sources
Polynomial extensions of quasi-Baer rings
Acta Mathematica Hungarica, 2005E Hashemi, A Moussavi
exaly
Radicals of Skew Polynomial and Skew Laurent Polynomial Rings Over Skew Armendariz Rings
Communications in Algebra, 2014A R Nasr-Isfahani
exaly
Lattice Encoding of Cyclic Codes from Skew-Polynomial Rings
International Castle Meeting on Coding Theory and Applications, 2014Jérôme Ducoat, F. Oggier
semanticscholar +1 more source
Shephard–Todd–Chevalley Theorem for Skew Polynomial Rings
Algebras and Representation Theory, 2009Ellen Kirkman +2 more
exaly
NTRU Cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings
, 2014Ron Steinfeld
semanticscholar +1 more source
On prime ideals and radicals of polynomial rings and graded rings
, 2014P. Lee, E. Puczyłowski
semanticscholar +1 more source