Papers and Preprints - Tom Craven
Most of papers are available in PDF format
.
To read them you must have
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Other papers are accessed by links to the journals
and some older papers are not available in computer form
.
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Graded lie algebras and q-commutative and r-associative parameters,
(with L. Wills-Toro and J. Vélez), Proceedings XVII Coloquio Latinoamericano de Algebra, to appear.
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Symmetric algebras over rings and fields, (with T. Smith),
to appear.
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Cohomology of deformation parameters of diagonal noncommutative nonassociative
graded algebras, (with L. Wills-Toro and J. Vélez),
Acta Math. Acad. Paedagog. Nyházi. (N.S.), 24 (2008), 271-277.
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The Fox-Wright functions and Laguerre multiplier sequences, (with G. Csordas),
J. Math. Anal. Appl. 314 (2006), 109-125.
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A class of finite commutative rings constructed from Witt rings, (with M. Vo),
Bull. Austral. Math. Soc. 73 (2006), 47-64.
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Abstract theory of semiorderings, (with T. Smith),
Bull. Austral. Math. Soc. 72 (2005), 225-250.
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Karlin's conjecture and a question of Pólya, (with G. Csordas),
Rocky Mountain J. Math. 35
(2005), 61-82.
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Composition theorems, multiplier sequences and complex zero decreasing sequences,
(with G. Csordas), in Value Distribution Theory and Related Topics, Advances in Complex Analysis and
Its Applications, Vol. 3,
eds. G. Barsegian, I. Laine and C. C. Yang, Kluwer Press, 2004.
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Semiorderings and Witt rings, (with T. Smith),
Bull. Austral. Math. Soc. 67 (2003), 329-341.
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Iterated Laguerre and Turán inequalities, (with G. Csordas),
JIPAM. J. Inequal. Pure Appl. Math. 3 (2002), no. 3,
Article 39, 14 pp. (electronic)
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Valuations and hermitian forms on skew fields, in Valuation
theory and its applications, Vol. I (Saskatoon, SK, 1999), 103-115,
Fields Inst. Commun. 32, Amer. Math. Soc.,
Providence, RI, 2002.
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Ordered *-rings, (with T. Smith), J. Algebra
238 (2001), 314-327.
- Interpolation and the
Laguerre-Pólya class, (with A. Bakan and G. Csordas),
Southwest J. Pure Appl. Math. (2001), no. 1, 38-53. (electronic)
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Pythagorean *-fields, (with T. Smith), J. Algebra
225 (2000), 487-500.
- Formally real
fields from a Galois theoretic perspective, (with T. Smith),
J. Pure Appl. Algebra 145 (2000), 19-36.
- Hermitian
forms over ordered *-fields, (with T. Smith), J. Algebra
216 (1999), 86-104.
- A sufficent
condition for strict total positivity of a matrix, (with G. Csordas),
Linear and Multilinear Algebra 45 (1998), 19-34.
- A weak
version of Rolle's theorem, Proc. Amer. Math. Soc.
125 (1997), 3147-3153.
- On a
converse of Laguerre's theorem, (with G. Csordas),
Electron. Trans. Numer. Anal. 5 (1997), 7-17. (electronic)
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Weakly increasing zero-diminishing sequences,
(with A. Bakan, G. Csordas and A. Golub), Serdica Math. J.
22 (1996), 547-570.
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Problems and theorems in the theory of multiplier sequences,
(with G. Csordas), Serdica Math. J. 22 (1996), 515-524.
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Extension of Orderings on *-fields, Proc. Amer. Math. Soc..
124 (1996), 397-405.
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Complex zero decreasing sequences, (with G. Csordas),
Methods Appl. Anal. 2 (1995), 420-441.
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Orderings, valuations and hermitian forms over *-fields,
Proc. Symposia Pure Math. 58.2 (1995), 149-160.
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Differential operators of infinite order and the distribution of zeros of
entire functions, (with G. Csordas), J. Math. Anal. Appl.
186 (1994), 799-820.
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Orderings for noncommutative rings, Recent advances in real
algebraic geometry and quadratic forms (Berkeley, CA, 1990/1991; San Francisco,
CA, 1991), Contemp. Math. 155 (1994), 97-105.
- Witt groups of hermitian forms over *-fields, J. Algebra
147 (1992), 96-127.
- Orderings on semirings, Semigroup Forum 43
(1991), 45-52.
- Places on *-fields and the real holomorphy ring, Comm. Algebra
18 (1990), 2791-2820.
- Characterization of fans in *-fields,
J. Pure Appl. Algebra 65 (1990), 15-24.
- Orderings and valuations on *-fields, Rocky Mountain J. Math. 19 (1989), 629-646.
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Jensen polynomials and the Turán and Laguerre inequalities, (with G. Csordas),
Pacific J. Math. 136 (1989), 241-260.
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Approximation properties for orderings on *-fields,
Trans. Amer. Math. Soc. 310 (1988), 837-850.
- Fields maximal with respect to a set of orderings,
J. Algebra 115 (1988), 200-218.
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Zeros of derivatives of entire functions, (with G. Csordas and W. Smith),
Proc. Amer. Math. Soc. 101 (1987), 323-326.
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The zeros of derivatives of entire functions and the Pólya-Wiman conjecture,
(with G. Csordas and W. Smith), Ann. of Math. 125 (1987), 405-431.
- Ordered fields satisfying Rolle's theorem,
(with R. Brown and M. J. Pelling), Illinois J. Math. 30 (1986), 66-78.
- On the betweenness condition of Rolle's theorem,
(with G. Csordas), Rocky Mountain J. Math. 15 (1985), 721-728.
- Ordered fields satisfying Rolle's theorem,
(with R. Brown and M. J. Pelling), Rocky Mountain J. Math. 14 (1984), 819-820.
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The Gauss-Lucas theorem and Jensen polynomials, (with G. Csordas),
Trans. Amer. Math. Soc. 278 (1983), 415-429.
- Location of zeros. Part II: Ordered fields, (with G. Csordas),
Illinois J. Math. 27 (1983), 279-299.
- Location of zeros. Part I: Real polynomials and entire functions,
(with G. Csordas), Illinois J. Math. 27 (1983), 244-278.
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On the prime ideal of an ordering of higher level,
Math. Z. 180 (1982), 553-565.
- Witt rings and orderings of skew fields,
J. Algebra 77 (1982), 74-96.
- On the number of real roots of polynomials,
(with G. Csordas), Pacific J. Math. 102 (1982), 15-28.
- An inequality for the distribution of zeros of polynomials and
entire functions, (with G. Csordas), Pacific J. Math. 95 (1981), 263-280.
- On the topological space of all orderings of a skew field,
Arch. Math. 36 (1981), 234-238.
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Orderings of higher level and semilocal rings,
Math. Z. 176 (1981), 577-588.
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Zero-diminishing linear transformations, (with G. Csordas),
Proc. Amer. Math. Soc. 80 (1980), 544-546.
- An application of Pólya's theory of counting to an
enumeration problem arising in quadratic form theory,
J. Combinatorial Theory Series A 29 (1980), 174-181.
- Intersections of real closed fields,
Canad. J. Math. 32 (1980), 431-440.
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Characterizing reduced Witt rings II, Pacific J. Math.
80 (1979), 341-349.
- Characterizing reduced Witt rings of fields,
J. Algebra 53 (1978), 68-77.
- Existence of SAP extension fields, Arch. Math.
29 (1977), 594-597.
- Multiplier sequences for fields, (with G. Csordas),
Illinois J. Math. 21 (1977), 801-817.
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Stability in Witt rings, Trans. Amer. Math. Soc.
225 (1977), 227-242.
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The map of the Witt ring of a domain into the Witt ring of its field of fractions,
(with A. Rosenberg and R. Ware), Proc. Amer. Math. Soc. 51 (1975), 25-30.
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The Boolean space of orderings of a field,
Trans. Amer. Math. Soc. 209 (1975), 225-235.
- The topological space of orderings of a rational function field,
Duke Math. J. 41 (1974), 339-347.
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