A. R. Wadsworth's Publications

  1. Pairs of domains where all intermediate domains are Noetherian, Trans. Amer. Math. Soc., 195 (1974),
    201 - 211. (MR 50#2158)

  2. Similarity of quadratic forms and isomorphism of their function fields, Trans. Amer. Math. Soc., 208
    (1975), 352 - 358. (MR 51#12702)

  3. Hilbert subalgebras of finitely generated algebras, J. Algebra, 43 (1976), 298 - 304. (MR 55#329)

  4. (with D. B. Shapiro) Spaces of similarities. III. Function fields, J. Algebra, 46 (1977), 182 - 188.
    (MR 56#11898c)

  5. Hilbert subalgebras of finitely generated algebras. II, Comm. Algebra, 5 (1977), 863 - 872.
    (MR 56#3002)

  6. (with D. B. Shapiro) On multiples of round and Pfister forms, Math. Z., 157 (1977), 53 - 62.
    (MR 58#21938)

  7. (with R. Elman and T. Y. Lam) Amenable fields and Pfister extensions, pp. 445 - 492,  Conference
    on Quadratic Forms--1976 (Queen's Univ., Kingston, Ont., 1976),     ed. G. Orzech, with an appendix
    ``Excellence of F(phi)/F for 2-fold Pfister forms'' by J. K. Arason, Queen's Papers in Pure and Appl.
    Math., No. 46, Queen's Univ., Kingston, Ont., 1977. (MR 58#27756)

  8. (with R. Elman and T. Y. Lam) Orderings under field extensions, J. Reine Angew. Math., 306 (1979),
    7 - 27. (MR 80e:12029)

  9. (with R. Resco and L. Small) Tensor products of division rings and finite generation of subfields,
    Proc. Amer. Math. Soc., 77 (1979), 7 - 10. (MR 80g:16020)

  10. The Krull dimensions of tensor products of commutative algebras over a field, J. London Math.
    Soc. (2),     19 (1979), 391 - 401. (MR 80h:13014)

  11. (with R. Elman and T. Y. Lam) Function fields of Pfister forms, Invent. Math., 51 (1979), 61 - 75.
    (MR 80m:10017)

  12. Polynomial invariants for operators, Integral Equations Operator Theory, 2 (1979), 421 - 433.
    (MR 81c:47038)

  13. (with R. Elman and T. Y. Lam) Pfister ideals in Witt rings, Math. Ann., 245 (1979), 219 - 245.
    (MR 81g:10037)

  14. (with R. Elman and T. Y. Lam) Quadratic forms under multiquadratic extensions, Nederl. Akad.
    Wetensch. Indag. Math.,     42 (1980), 131 - 145. (MR 81j:10028)

  15. (with B. Fein and M. Schacher) Division rings and the square root of -1, J. Algebra, 65 (1980),
    340 - 346. (MR 81j:12015)

  16. (with L. Small) An example in affine PI-rings, Israel J. Math., 36 (1980), 285 - 286.
    (MR 82a:16022)

  17. (with L. Small) Some examples of rings, Comm. Algebra, 9 (1981), 1105 - 1118. (MR 82h:16012)

  18. p-Henselian fields: K-theory, Galois cohomology, and graded Witt rings, Pacific J. Math., 105 (1983),
    473 -  496. (MR 84m:12026)

  19. (with R. Elman, T. Y. Lam, and J.-P. Tignol) Witt rings and Brauer groups under multiquadratic
    extensions. I, Amer. J. Math., 105 (1983), 1119 - 1170. (MR 85i:11032)

  20. (with D. B. Shapiro and J.-P. Tignol) Witt rings and Brauer groups under multiquadratic extensions. II,
    J. Algebra,     78 (1982), 58 - 90. (MR 85i:11033)

  21. (with L. Small) Integrality of subrings of matrix rings, Pacific J. Math., 116 (1985), 195 - 200.
    (MR 86i:16017)

  22. Discriminants in characteristic two, Linear and Multilinear Algebra, 17 (1985), 235 - 263.
    (MR 86m:12004)

  23. (with B. Jacob) A new construction of noncrossed product algebras, Trans. Amer. Math. Soc., 293
    (1986), 693 - 721. (MR 87g:16027)

  24. (with D. B. Leep and D. B. Shapiro) Sums of squares in division algebras, Math. Z., 190 (1985),
    151 - 162. (MR 87i:11047)

  25. Extending valuations to finite-dimensional division algebras, Proc. Amer. Math. Soc., 98 (1986),
    20 - 22. (MR 87i:16025)

  26. Merkurjev's elementary proof of Merkurjev's theorem, pp. 741 - 776 in  Applications of algebraic
    K-theory to algebraic geometry and number theory, Part I, (Boulder, Colo., 1983),     eds. S. Bloch
    et al., Contemp. Math., 55, Amer. Math. Soc., Providence, R. I., 1986. (MR 88b:11078)

  27. (with J.-P. Tignol) Totally ramified valuations on finite-dimensional division algebras, Trans. Amer.
    Math. Soc.,     302 (1987), 223 - 250. (MR 88j:16025)

  28. (with R. Elman) Hereditarily quadratically closed fields., J. Algebra, 111 (1987), 475 - 482.
    (MR 89g:12004)

  29. (with D. B. Leep) The transfer ideal of quadratic forms and a Hasse norm theorem mod squares,
    Trans. Amer. Math. Soc,     315 (1989), 415 - 432. (MR 90a:11047)

  30. The residue division ring of a valued division algebra, Deuxième Contact Franco-Belge en Algèbre
    (Faulx-les-Tombes, 1987), Bull. Soc. Math. Belg. Sér. A, 40 (1988), 307 - 322. (MR 90b:16028)

  31. Dubrovin valuation rings and Henselization, Math. Ann., 283 (1989), 301 - 328. (MR 90f:16009)

  32. (with P. J. Morandi) Baer orderings with noninvariant valuation ring, Israel J. Math., 68 (1989),
    241 - 255. (MR 91c:12002)

  33. (with B. Jacob) Division algebras over Henselian fields, J. Algebra, 128 (1990), 126 - 179.
    (MR 91d:12006)

  34. (with P. J. Morandi) Integral Dubrovin valuation rings, Trans. Amer. Math. Soc., 315 (1989),
    623 - 640. (MR 91d:16076)

  35. Dubrovin valuation rings, pp. 359 - 374 in Perspectives in ring theory (Antwerp, 1987), eds.
    F. van Oystaeyen and L. Le Bruyn, NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., 233, Kluwer
    Acad. Publ., Dordrecht,     1988. (MR 91e:16053)

  36. In a division algebra of even degree -1 is a product of squares, Bull. Soc. Math. Belg. Sér. B, 42 (1990), 
    103 - 104. (MR 91h:12007)

  37. The algebra generated by two commuting matrices, Linear and Multilinear Algebra, 27 (1990),
    159 - 162. (MR 91h:16053b)

  38. (with M. Chacron) On decomposing c-valued division rings, J. Algebra, 134 (1990), 182 - 208.
    (MR 91j:16055)

  39. (with P. Mammone and J.-P. Tignol) Fields of characteristic 2 with prescribed u-invariants, Math. Ann.,
    290     (1991), 109 - 128. (MR 92g:11035)

  40. (with P. Mammone and R. Moresi) u-invariants of fields of characteristic 2, Math. Z., 208 (1991),
    335 - 347. (MR 92m:11033)

  41. Valuations on tensor products of symbol algebras, pp. 275 - 289 in  Azumaya algebras, actions, and
    modules (Bloomington, Ind., 1990),     eds. D. Haile and J. Osterburg, Contemporary Math., 124, 
    Amer. Math. Soc., Providence, R. I.,     1992. (MR 93a:16015)

  42. (with D. B. Leep) The Hasse norm theorem mod squares, J. Number Theory, 42 (1992), 337 - 348.
    (MR 94b:11109)

  43. The index reduction formula for generic partial splitting varieties, Comm. Algebra, 21 (1993),
    1063 - 1070. (MR 94g:16022)

  44. (with B. Jacob) Division algebras with no common subfields, Israel J. Math., 83 (1993), 353 - 360.
    (MR 95a:12005)

  45. (with Krüskemper, M.) A quaternion algebra of sublevel 3, Bull. Soc. Math. Belg., Sér. B, 43 (1991),
    181 - 185. (MR 95j:11035)

  46. (with M. Chacron, H. Dherte, J.-P. Tignol, and V. I. Yanchevskii), Discriminants of involutions on
    Henselian division algebras, Pacific J. Math. 167 (1995), 49 - 79. (MR 95k:16020)

  47. (with J. Minác) The u-invariant for algebraic extensions, pp. 333 - 358 in K-theory and algebraic
    geometry: connections with quadratic forms and division algebras (Santa Barbara, Cal., 1992),     eds.
    B. Jacob and A. Rosenberg, Proc. Sympos. Pure Math., 58, Part 2, Amer. Math. Soc., Providence,
    R. I.,     1995. (MR 96e:11052)

  48. (with D. E.  Haile and P. J. Morandi) Bézout orders and Henselization, J. Algebra, 173 (1995),
    394 - 423. (MR 96i:16025)

  49. Review of "Quadratic algebras, Clifford algebras, and arithmetic Witt groups" by A.J. Hahn (Springer,
    1994) in Bull. Amer. Math. Soc., 33 (1996), 263 - 267.

  50. (with A. S. Merkurjev and I. A. Panin) Index reduction formulas for twisted flag varieties. I, K-Theory,
    10     (1996), 517 - 596. (MR 98c: 16018)

  51. (with R. S. Garibaldi and J.-P. Tignol) Galois cohomology of special orthogonal groups, Manuscripta
    Math.,     93 (1997), 247 - 266. (MR 98k: 11039)

  52. (with A. S. Merkurjev and I. A. Panin) Index reduction formulas for twisted flag varieties. II, K-Theory,
    14     (1998), 101 - 196. (MR 99k: 16037)

  53. (with Y.-S. Hwang) Algebraic extensions of graded and valued fields, Comm. Algebra, 27 (1999),
    821 - 840. (MR 2000d: 12006)

  54. (with M. Chacron and J.-P. Tignol) Tractable fields, Canadian J. Math., 51 (1999), 10 - 25. 
    (MR 2000e: 16020)

  55. (with Y.-S. Hwang) Correspondences between valued division algebras and graded division algebras,
    J. Algebra, 220 (1999), 73 - 114. (MR 2000g: 16028)

  56. Valuation theory on finite dimensional division algebras, pp. 385 - 449 in Valuation Theory and its
    Applications    , I, eds. F.-V. Kuhlmann et al., Fields Institute Communications, 32,  Amer. Math. Soc.,
    Providence, R. I., 2002. (MR 2003g: 16023)

  57. (with Y.-S. Hwang and D. B. Leep) Galois groups of order 2n that contain a cyclic subgroup of
    order n, Pacific J. Math., 212 (2003), 297 - 319. (MR 2004m: 12002)

  58. (with. E. Aljadeff and J. Sonn) Projective Schur groups of Henselian fields, J. Pure Appl. Algebra, 208
    (2007), 833 - 851. (MR 2007k: 11196)

  59. (with J. Minác) Division algebras of prime degree and maximal Galois p-extensions, Canad. J. Math.,
    59     (2007), 658 - 672. (MR 2319163)

  60. (with R. Hazrat) Nontriviality of certain quotients of K1 groups of division algebras, J. Algebra, 312
    (2007), 354 - 361. (MR 2320461)

  61. (with J.-F. Renard and J.-P. Tignol) Graded Hermitian forms and Springer's theorem, Indag. Math.
    (N.S.)    , 18 (2007), 97 - 134. (MR 2330736)

  62. (with C. D. Popescu and J. Sonn) n-torsion of Brauer groups as relative Brauer groups of abelian
    extensions,     J. Number Theory, 125 (2007), 26 - 38.  (MR 2333116)

  63. (with R. Hazrat) On maximal subgroups of the multiplicative group of a division algebra, J. Algebra,
    322     (2009), 2528 - 2543.  (MR 2553693)

  64. (with J.-P. Tignol) Value functions and associated graded rings for semisimple algebras, Trans. Amer.
    Math.     Soc.,  362 (2010), 687 - 726. (MR 2551503)

  65. (with K. Mounirh) Subfields of nondegenerate tame semiramified division algebras, Comm. Algebra,
    39     (2011),  462 - 485.  (MR 2773314)

  66. (with R. Hazrat) SK1 of graded division algebras, Israel J. Math., 183 (2011), 117 - 163.
    (MR 2811156)

  67. (with J.-P. Tignol) Valuations on algebras with involution, Math. Ann., 351 (2011), 109 - 148. 
    (MR 2824849)

  68. (with R. Hazrat) Unitary SK1 of graded and valued division algebras, Proc. London Math. Soc. (3), 103
    (2011), 508 - 534.  (MR 2827004)

  69. (with V. I. Yanchevskii) Unitary SK1 for a graded division ring and its quotient division ring,
    J. Algebra    , 352 (2012), 62 - 78. (MR 2862175)

  70. (with D. E. Haile and I. Han) Curves C that are cyclic twists of  Y2 = X3+c  and the relative Brauer
    groups Br(k(C)/k), Trans. Amer. Math. Soc., 364 (2012), 4875 - 4908. (MR 2922613)

  71. (with R. Hazrat) Homogeneous SK1 of simple graded algebras, New York J. Math., 18 (2012),
    315 - 336. (MR 2928579)

  72. Unitary SK1 of semiramified graded and valued division algebras, Manuscripta Math., 139 (2012),
    343 - 389. (MR 2974281)

  73. (book, with J.-P. Tignol) Value functions on simple algebras, and associated graded rings, Springer,
    Cham, 2015, xvi+643 pp. (MR 3328410)

  74. (with M. A. Ferreira) Value functions and Dubrovin valuation rings on simple algebras, Trans. Amer.
    Math.     Soc., 368 (2016), 1681 - 1734. (MR 3449223)

  75. (with T. Hanke and D. Neftin) Galois subfields of tame division algebras, Israel J. Math., 211 (2016),
    367 - 389. (MR 3474968)

Back to my homepage.
A. Wadsworth / arwadsworth@ucsd.edu