I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2007, VOLUME 13, NUMBER 1, PAGES 101-107
Multiplicative orders on terms
E. V. Gorbatov
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a commutative ring with identity.
Any order on terms of the polynomial algebra
induces in a natural way the notion of a leading term.
An order on terms is called multiplicative if and only if the leading
term of a product equals the product of leading terms.
In this paper, we present a procedure for the construction of
We obtain some characterizations of rings for which such orders exist.
We give conditions sufficient for the existence of such orders.
Last modified: December 21, 2006