polynomial ring उदाहरण वाक्य

उदाहरण वाक्य

1. So, let be a unique factorization domain, which is not a field, and the univariate polynomial ring over.
2. He was a first-class contract bridge player and wrote about bridge and other games, including ideals of polynomial rings.
3. Although developed independently, it may also be seen as the instantiation of Knuth Bendix algorithm in the theory of polynomial rings.
4. Mathematical objects such as vector spaces and polynomial rings can be carried over into these new theories by mimicking their abstract properties.
5. This is for instance the case when considering a monomial basis of a polynomial ring, or a monomial ordering of that basis.
6. The first algorithm for computing primary decompositions for polynomial rings over a field of characteristic 0 was published by Noether's student.
7. A classical example in nineteenth century was the extensive study ( in particular by ideal inside the polynomial ring generated by the invariants.
8. He received his PhD from Leningrad University in 1974; his thesis was titled " Projective modules over polynomial rings ".
9. The analogous conjecture with the integers replaced by the one-variable polynomial ring over a finite field is " false ".
10. This statement goes back to David Hilbert's foundational work on homological properties of polynomial rings, see Hilbert's syzygy theorem.