1966
DOI: 10.1090/s0002-9939-1966-0197457-0
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Cited by 9 publications
(6 citation statements)
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“…In fact, the procedure can be applied directly to polynomials in expressions P(a 19 bj) P(a n , δ n ). This work is similar to that of Levi [3] for the differential ideals [y p ] and [uv] as well as [1], [2], [4], [5], and [6]. Our results are a generalization, for n = 2, of those in [1] to a general ring.…”
Section: W T )supporting
confidence: 84%
“…In fact, the procedure can be applied directly to polynomials in expressions P(a 19 bj) P(a n , δ n ). This work is similar to that of Levi [3] for the differential ideals [y p ] and [uv] as well as [1], [2], [4], [5], and [6]. Our results are a generalization, for n = 2, of those in [1] to a general ring.…”
Section: W T )supporting
confidence: 84%
“…It has some similarities to the work of Levi [3], for the differential ideals [y p ] and [uv] as well as [2], [4], [5], and [7]. Although the Wronskian is zero if and only if {y { } is a linearly dependent set (the y'& being analytic functions) [8, p. 34], by the RittRaudenbush Theorem of Zeros [8, p. 27] , k d } is a fixed set of nonnegative integers (with possible repetitions), the set of polynomials in products of degree d, Vi 1 k ι -* y% d k d f°r any choice of the i, , is also a subspace of <% and & is the direct sum of these subspaces, (With d = 0, the subspace is F.) The intersection of these two gradings is the one we use, and we usually work in a subspace which is homogeneous with respect to both gradings.…”
Section: In This Notation Y I3 -{{ϊ\)J)mentioning
confidence: 79%
“…The different proof of Mead's Theorem 2 in that paper could be eliminated by a reference to D. Knuth's generalization of the Robinson-Schensted insertion into tableau algorithm in [6]. The ordering of power products described in §2 above made possible the generalization, given here, of the results of [5] and [7].…”
Section: The Number N a (W E) Depends Only On W E Q And S And Canmentioning
confidence: 97%
“…When q = 0, Γ = {0, 1, •}, and each v t = 0, A and C can be shown to be the same as the sets of α-terms and /3-terms respectively, defined in [5], using the machinery in [7] and induction on n. 4* The bisection θ. Next we define a mapping θ from P to L and, as in Levi's work in [7], show that θ is a bisection and then show that L and C are space bases for R and J, respectively.…”
mentioning
confidence: 99%