𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Polynomial automorphisms of lattices

✍ Scribed by Ervin Fried; Harry Lakser


Publisher
Springer
Year
1990
Tongue
English
Weight
533 KB
Volume
27
Category
Article
ISSN
0002-5240

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Determinants of integral ideal lattices
✍ Eva Bayer-Fluckiger πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 84 KB

The aim of this paper is to give a characterisation of the determinants and signatures of integral ideal lattices over a given algebraic number field. This is then used to obtain an existence criterion for automorphisms of given characteristic polynomial. In particular, we give a different proof of

Polynomial automorphisms and invariants
✍ Arno van den Essen; Ronen Peretz πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 201 KB
Triangular Factorizations of Special Pol
✍ Engelbert Hubbers; David Wright πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 166 KB

In this paper we give explicit factorizations which demonstrate the stable tameness of all polynomial automorphisms arising from a recent construction of Hubbers and van den Essen. This is accomplished by two different factorizations of such an automorphism by triangular automorphisms, one which is

Polynomial Automorphisms and GrΓΆbner Red
✍ Vladimir Shpilrain; Jie-Tai Yu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 173 KB

Let P s K x , . . . , x be the polynomial algebra over a field K of characterisn 1 n tic 0. We show that applying an automorphism to a given polynomial p g P is n mimicked by Grobner transformations of a basis of the ideal of P generated by Β¨n partial derivatives of this polynomial. In the case of P