On the tensor product of polynomials over a ring
2001 ◽
Vol 71
(3)
◽
pp. 307-324
◽
Keyword(s):
AbstractGiven polynomials a and b over an integral domain R, their tensor product (denoted a ⊗ b) is a polynomial over R of degree deg(a) deg(b) whose roots comprise all products αβ, where α is a root of a, and β is a root of b. This paper considers basic properties of ⊗ including how to factor a ⊗ b into irreducibles factors, and the direct sum decomposition of the ⊗-product of fields.
1964 ◽
Vol 11
(2)
◽
pp. 205-215
◽
1998 ◽
Vol 21
(2)
◽
pp. 433-440
◽
1995 ◽
Vol 138
◽
pp. 113-140
◽
2009 ◽
Vol 21
(1)
◽
pp. 1-19
◽
1998 ◽
Vol 50
(3)
◽
pp. 525-537
◽