The Hamilton nil-glamour of an affine algebraic plane

Moscow University Mathematics Bulletin - Tập 65 - Trang 51-54 - 2010
O. V. Gerasimova1, Yu. P. Razmyslov1
1Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia

Tóm tắt

Properties of finite nil-indexed polynomial vector fields on an affine plane are studied.

Tài liệu tham khảo

Yu. P. Razmyslov, Introduction to the Theory of Algebras and Their Representations (Izd-vo MGU, Moscow, 1991) [in Russian]. E. V. Pankrat’ev and Yu. P. Razmyslov, “Heisenberg Envelopes of Weyl-Wotton Subalgebras,” in Proc. Intern. Algebr. Conf. Dedicated to 250 Anniversary of MSU (Center of Applied Researches, Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 2004) [in Russian], pp. 99–103. I. G. Petrovskii, Lectures on Partial Differential Equations (Fizmatlit, Moscow, 1961; Dover Publ., N.Y., 1991). I. R. Shafarevich, Basic Algebraic Geometry (Nauka, Moscow, 1972; Springer, 1977). J. Lambek, Lectures on Rings and Modules (Blaisdell, 1966). T. Abhyankar and S. Moh, “Imbeddings of the Line in the Plane,” J. reine und angew. Math. 276, 148 (1975).