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), no. 1, 298--304. (MR 55#329)

  4. (with Daniel Shapiro) Spaces of similarities. III. Function fields. J. Algebra 46 (1977), no. 1, 182--188. (MR 56#11898c)

  5. Hilbert subalgebras of finitely generated algebras. II. Comm. Algebra 5 (1977), no. 8, 863--872. (MR 56#3002)

  6. (with Daniel Shapiro) On multiples of round and Pfister forms. Math. Z. 157 (1977), no. 1, 53--62. (MR 58#21938)

  7. (with Richard Elman and T. Y. Lam) Amenable fields and Pfister extensions. Conference on Quadratic Forms---1976 (Proc. Conf., Queen's Univ., Kingston, Ont., 1976), pp. 445--492. With an appendix ``Excellence of $F(\varphi )/F$ 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 Richard Elman and T. Y. Lam) Orderings under field extensions. J. Reine Angew. Math. 306 (1979), 7--27. (MR 80e:12029)

  9. (with Richard Resco and Lance Small) Tensor products of division rings and finite generation of subfields. Proc. Amer. Math. Soc. 77 (1979), no. 1, 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), no. 3, 391--401. (MR 80h:13014)

  11. (with Richard Elman and T. Y. Lam) Function fields of Pfister forms. Invent. Math. 51 (1979), no. 1, 61--75. (MR 80m:10017)

  12. Polynomial invariants for operators. Integral Equations Operator Theory 2 (1979), no. 3, 421--433. (MR 81c:47038)

  13. (with Richard Elman and T. Y. Lam) Pfister ideals in Witt rings. Math. Ann. 245 (1979), no. 3, 219--245. (MR 81g:10037)

  14. (with Richard Elman and T. Y. Lam) Quadratic forms under multiquadratic extensions. Nederl. Akad. Wetensch. Indag. Math. 42 (1980), no. 2, 131--145. (MR 81j:10028)

  15. (with Burton Fein and Murray Schacher) Division rings and the square root of $-1$. J. Algebra 65 (1980), no. 2, 340--346. (MR 81j:12015)

  16. (with Lance Small) An example in affine PI-rings. Israel J. Math. 36 (1980), no. 3-4, 285--286. (MR 82a:16022)

  17. (with Lance Small) Some examples of rings. Comm. Algebra 9 (1981), no. 10, 1105--1118. (MR 82h:16012)

  18. $p$-Henselian fields: $K$-theory, Galois cohomology, and graded Witt rings. Pacific J. Math. 105 (1983), no. 2, 473--496. (MR 84m:12026)

  19. (with Richard Elman, T. Y. Lam, and J.-P. Tignol) Witt rings and Brauer groups under multiquadratic extensions. I. Amer. J. Math. 105 (1983), no. 5, 1119--1170. (MR 85i:11032)

  20. (with Daniel Shapiro and J.-P. Tignol) Witt rings and Brauer groups under multiquadratic extensions. II. J. Algebra 78 (1982), no. 1, 58--90. (MR 85i:11033)

  21. (with Lance Small) Integrality of subrings of matrix rings. Pacific J. Math. 116 (1985), no. 1, 195--200. (MR 86i:16017)

  22. Discriminants in characteristic two. Linear and Multilinear Algebra 17 (1985), no. 3-4, 235--263. (MR 86m:12004)

  23. (with Bill Jacob) A new construction of noncrossed product algebras. Trans. Amer. Math. Soc. 293 (1986), no. 2, 693--721. (MR 87g:16027)

  24. (with David Leep and Daniel Shapiro) Sums of squares in division algebras. Math. Z. 190 (1985), no. 2, 151--162. (MR 87i:11047)

  25. Extending valuations to finite-dimensional division algebras. Proc. Amer. Math. Soc. 98 (1986), no. 1, 20--22. (MR 87i:16025)

  26. Merkurjev's elementary proof of Merkurjev's theorem. Applications of algebraic $K$-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), 741--776, 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), no. 1, 223--250. (MR 88j:16025)

  28. (with Richard Elman) Hereditarily quadratically closed fields. J. Algebra 111 (1987), no. 2, 475--482. (MR 89g:12004)

  29. (with David Leep) The transfer ideal of quadratic forms and a Hasse norm theorem mod squares. Trans. Amer. Math. Soc. 315 (1989), no. 1, 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), no. 2, 307--322. (MR 90b:16028)

  31. Dubrovin valuation rings and Henselization. Math. Ann. 283 (1989), no. 2, 301--328. (MR 90f:16009)

  32. (with Patrick Morandi) Baer orderings with noninvariant valuation ring. Israel J. Math. 68 (1989), no. 2, 241--255. (MR 91c:12002)

  33. (with Bill Jacob) Division algebras over Henselian fields. J. Algebra 128 (1990), no. 1, 126--179. (MR 91d:12006)

  34. (with Patrick Morandi) Integral Dubrovin valuation rings. Trans. Amer. Math. Soc. 315 (1989), no. 2, 623--640. (MR 91d:16076)

  35. Dubrovin valuation rings. Perspectives in ring theory (Antwerp, 1987), 359--374, 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), no. 1, 103--104. (MR 91h:12007)

  37. The algebra generated by two commuting matrices. Linear and Multilinear Algebra 27 (1990), no. 3, 159--162. (MR 91h:16053b)

  38. (with M. Chacron) On decomposing $c$-valued division rings. J. Algebra 134 (1990), no. 1, 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), no. 1, 109--128. (MR 92g:11035)

  40. (with P. Mammone and R. Moresi) $u$-invariants of fields of characteristic $2$. Math. Z. 208 (1991), no. 3, 335--347. (MR 92m:11033)

  41. Valuations on tensor products of symbol algebras. Azumaya algebras, actions, and modules (Bloomington, IN, 1990), 275--289, Amer. Math. Soc., Providence, RI, 1992. (MR 93a:16015)

  42. (with David Leep) The Hasse norm theorem mod squares. J. Number Theory 42 (1992), no. 3, 337--348. (MR 94b:11109)

  43. The index reduction formula for generic partial splitting varieties. Comm. Algebra 21 (1993), no. 4, 1063--1070. (MR 94g:16022)

  44. (with Bill Jacob) Division algebras with no common subfields. Israel J. Math. 83 (1993), no. 3, 353--360. (MR 95a:12005)

  45. (with Krüskemper, Martin) A quaternion algebra of sublevel $3$. Bull. Soc. Math. Belg. Sér. B 43 (1991), no. 2,181--185. (MR 95j:11035)

  46. (with M. Chacron, H. Dherte, and J.-P. Tignol) Yanchevski\u\i, V. I. Discriminants of involutions on Henselian division algebras. Pacific J. Math. 167 (1995), no. 1, 49--79. (MR 95k:16020)

  47. (with Ján Miná\vc, ) The $u$-invariant for algebraic extensions. $K$-theory and algebraic geometry: connections with quadratic forms and division algebras (Santa Barbara, CA, 1992), 333--358, Proc. Sympos. Pure Math., 58, Part 2, Amer. Math. Soc., Providence, RI, 1995. (MR 96e:11052)

  48. (with Darrell Haile and Patrick Morandi) Bézout orders and Henselization. J. Algebra 173 (1995), no. 2, 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), no. 2, 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, Fields Institute Communications, 32 (2002), 385-449.  (MR 2003g: 16023)

  57. (with Y.-S. Hwang and D. B. Leep) Galois groups of order 2n that contain a cyclic group 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. Minac) 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)
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A. Wadsworth / arwadsworth@ucsd.edu