منابع مشابه
The Strong Factorial Conjecture
In this paper, we present an unexpected link between the Factorial Conjecture ([8]) and Furter’s Rigidity Conjecture ([13]). The Factorial Conjecture in dimension m asserts that if a polynomial f in m variables Xi over C is such that L(f) = 0 for all k ≥ 1, then f = 0, where L is the C-linear map from C[X1, · · · , Xm] to C defined by L(X l1 1 · · ·X lm m ) = l1! · · · lm!. The Rigidity Conject...
متن کاملOn the irreducibility of a polynomial associated with the Strong Factorial Conjecture
The Strong Factorial Conjecture of E. Edo and A. van den Essen [3] is concerned with the linear functional L on the space of complex polynomials defined by sending a monomial generator z1 1 · · · zn n to (a1!) · · · (an!). The conjecture asserts that for a non-zero multi-variable complex polynomial F , the maximum number of consecutive zeroes that may appear in the sequence {L(F ) : n ≥ 1} is N...
متن کاملThe strong Nagata conjecture.
It is proved that there exist wild coordinates in the polynomial algebra in three variables over a field of characteristic zero. This result implies the famous Nagata conjecture.
متن کاملThe strong Anick conjecture.
Recently, Umirbaev proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra Kx, y, z over a field K of characteristic 0. In particular, the well known Anick automorphism is wild. In this work, we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordinates of...
متن کاملThe Strong Perfect Graph Conjecture
A graph is perfect if, in all its induced subgraphs, the size of a largest clique is equal to the chromatic number. Examples of perfect graphs include bipartite graphs, line graphs of bipartite graphs and the complements of such graphs. These four classes of perfect graphs will be called basic. In 1960, Berge formulated two conjectures about perfect graphs, one stronger than the other. The weak...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.09.011