McConnell, J. C.; Wadsworth, A. R. Locally PI but not PI Division Rings of Arbitrary GK-Dimension. arXiv:1803.09423 Preprint, arXiv:1803.09423 [math.RA] (2018). MSC: 16K40 16P90 BibTeX Cite \textit{J. C. McConnell} and \textit{A. R. Wadsworth}, ``Locally PI but not PI Division Rings of Arbitrary GK-Dimension'', Preprint, arXiv:1803.09423 [math.RA] (2018) Full Text: arXiv OA License
Wadsworth, A. R. Problems in abstract algebra. (English) Zbl 1371.12001 Student Mathematical Library 82. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3583-7/pbk; 978-1-4704-4044-2/ebook). viii, 277 p. (2017). Reviewer: Panayiotis Vlamos (Athena) MSC: 12-01 13-01 15-01 20-01 00A07 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Problems in abstract algebra. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1371.12001) Full Text: DOI
Hanke, Timo; Neftin, Danny; Wadsworth, Adrian Galois subfields of tame division algebras. (English) Zbl 1346.16013 Isr. J. Math. 211, 367-389 (2016). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 12J10 12E15 16S35 16W70 PDFBibTeX XMLCite \textit{T. Hanke} et al., Isr. J. Math. 211, 367--389 (2016; Zbl 1346.16013) Full Text: DOI arXiv
Ferreira, Mauricio A.; Wadsworth, Adrian R. Value functions and Dubrovin valuation rings on simple algebras. (English) Zbl 1379.16033 Trans. Am. Math. Soc. 368, No. 3, 1681-1734 (2016). Reviewer: Uzi Vishne (Ramat-Gan) MSC: 16W60 16K20 16W70 16L30 PDFBibTeX XMLCite \textit{M. A. Ferreira} and \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 368, No. 3, 1681--1734 (2016; Zbl 1379.16033) Full Text: DOI arXiv
Tignol, Jean-Pierre; Wadsworth, Adrian R. Value functions on simple algebras, and associated graded rings. (English) Zbl 1357.16002 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-16359-8/hbk; 978-3-319-35587-0/pbk; 978-3-319-16360-4/ebook). xv, 643 p. (2015). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16-02 16W60 16W50 16K20 16K50 12J10 PDFBibTeX XMLCite \textit{J.-P. Tignol} and \textit{A. R. Wadsworth}, Value functions on simple algebras, and associated graded rings. Cham: Springer (2015; Zbl 1357.16002) Full Text: DOI
Haile, Darrell E.; Han, Ilseop; Wadsworth, Adrian R. Curves \(\mathcal{C}\) that are cyclic twists of \(Y^{2}=X^{3}+c\) and the relative Brauer groups \(Br(k(\mathcal{C})/k)\). (English) Zbl 1368.16027 Trans. Am. Math. Soc. 364, No. 9, 4875-4908 (2012). MSC: 16K50 14G05 14H52 PDFBibTeX XMLCite \textit{D. E. Haile} et al., Trans. Am. Math. Soc. 364, No. 9, 4875--4908 (2012; Zbl 1368.16027) Full Text: DOI arXiv
Wadsworth, A. R. Unitary \(\mathrm{SK}_1\) of semiramified graded and valued division algebras. (English) Zbl 1264.16020 Manuscr. Math. 139, No. 3-4, 343-389 (2012). Reviewer: Uzi Vishne (Ramat-Gan) MSC: 16K20 19B99 16W50 16W60 16W70 16E20 16W10 16K50 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Manuscr. Math. 139, No. 3--4, 343--389 (2012; Zbl 1264.16020) Full Text: DOI arXiv
Hazrat, R.; Wadsworth, A. R. Homogeneous \(SK_1\) of simple graded algebras. (English) Zbl 1263.16023 New York J. Math. 18, 315-336 (2012). Reviewer: Bui Xuan Hai (Ho Chi Minh City) MSC: 16K20 19B99 16W50 16W70 16E20 PDFBibTeX XMLCite \textit{R. Hazrat} and \textit{A. R. Wadsworth}, New York J. Math. 18, 315--336 (2012; Zbl 1263.16023) Full Text: arXiv EMIS
Wadsworth, A. R.; Yanchevskiĭ, V. I. Unitary SK\(_1\) for a graded division ring and its quotient division ring. (English) Zbl 1261.16006 J. Algebra 352, No. 1, 62-78 (2012). Reviewer: Patrick Morandi (Las Cruces) MSC: 16E20 16K20 16W50 16W10 19B99 PDFBibTeX XMLCite \textit{A. R. Wadsworth} and \textit{V. I. Yanchevskiĭ}, J. Algebra 352, No. 1, 62--78 (2012; Zbl 1261.16006) Full Text: DOI arXiv
Hazrat, R.; Wadsworth, A. R. Unitary \(\text{SK}_1\) of graded and valued division algebras. (English) Zbl 1243.16020 Proc. Lond. Math. Soc. (3) 103, No. 3, 508-534 (2011). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 19B99 16W60 16E20 16W50 16W70 16H05 16W10 PDFBibTeX XMLCite \textit{R. Hazrat} and \textit{A. R. Wadsworth}, Proc. Lond. Math. Soc. (3) 103, No. 3, 508--534 (2011; Zbl 1243.16020) Full Text: DOI arXiv
Tignol, J.-P.; Wadsworth, A. R. Valuations on algebras with involution. (English) Zbl 1234.16027 Math. Ann. 351, No. 1, 109-148 (2011). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16W10 16K20 16W60 12E15 12J10 PDFBibTeX XMLCite \textit{J. P. Tignol} and \textit{A. R. Wadsworth}, Math. Ann. 351, No. 1, 109--148 (2011; Zbl 1234.16027) Full Text: DOI arXiv
Hazrat, R.; Wadsworth, A. R. \(\text{SK}_1\) of graded division algebras. (English) Zbl 1238.16019 Isr. J. Math. 183, 117-163 (2011). Reviewer: Uzi Vishne (Ramat-Gan) MSC: 16K20 19B99 16W50 16W60 16W70 16E20 PDFBibTeX XMLCite \textit{R. Hazrat} and \textit{A. R. Wadsworth}, Isr. J. Math. 183, 117--163 (2011; Zbl 1238.16019) Full Text: DOI arXiv
Mounirh, Karim; Wadsworth, A. R. Subfields of nondegenerate tame semiramified division algebras. (English) Zbl 1221.16017 Commun. Algebra 39, No. 2, 462-485 (2011). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 12J10 16K50 16W60 16W50 16W70 PDFBibTeX XMLCite \textit{K. Mounirh} and \textit{A. R. Wadsworth}, Commun. Algebra 39, No. 2, 462--485 (2011; Zbl 1221.16017) Full Text: DOI arXiv
Tignol, J.-P.; Wadsworth, A. R. Value functions and associated graded rings for semisimple algebras. (English) Zbl 1195.16043 Trans. Am. Math. Soc. 362, No. 2, 687-726 (2010). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16W60 16K20 16W70 12J10 16K50 PDFBibTeX XMLCite \textit{J. P. Tignol} and \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 362, No. 2, 687--726 (2010; Zbl 1195.16043) Full Text: DOI
Hazrat, R.; Wadsworth, A. R. On maximal subgroups of the multiplicative group of a division algebra. (English) Zbl 1190.16046 J. Algebra 322, No. 7, 2528-2543 (2009). Reviewer: Maneesh Thakur (New Delhi) MSC: 16U60 16K20 20E28 20E07 PDFBibTeX XMLCite \textit{R. Hazrat} and \textit{A. R. Wadsworth}, J. Algebra 322, No. 7, 2528--2543 (2009; Zbl 1190.16046) Full Text: DOI arXiv
Renard, J.-F; Tignol, J.-R; Wadsworth, A. R. Graded Hermitian forms and Springer’s theorem. (English) Zbl 1247.11052 Indag. Math., New Ser. 18, No. 1, 97-134 (2007). Reviewer: Andrzej Sładek (Katowice) MSC: 11E81 11E39 PDFBibTeX XMLCite \textit{J. F Renard} et al., Indag. Math., New Ser. 18, No. 1, 97--134 (2007; Zbl 1247.11052) Full Text: DOI
Minác, J.; Wadsworth, A. Division algebras of prime degree and maximal Galois \(p\)-extensions. (English) Zbl 1122.16014 Can. J. Math. 59, No. 3, 658-672 (2007). Reviewer: Maneesh Thakur (New Delhi) MSC: 16K20 16K50 PDFBibTeX XMLCite \textit{J. Minác} and \textit{A. Wadsworth}, Can. J. Math. 59, No. 3, 658--672 (2007; Zbl 1122.16014) Full Text: DOI
Hazrat, R.; Wadsworth, A. R. Nontriviality of certain quotients of \(K_1\) groups of division algebras. (English) Zbl 1125.16010 J. Algebra 312, No. 1, 354-361 (2007). Reviewer: Uzi Vishne (Ramat-Gan) MSC: 16K20 19B99 16E20 PDFBibTeX XMLCite \textit{R. Hazrat} and \textit{A. R. Wadsworth}, J. Algebra 312, No. 1, 354--361 (2007; Zbl 1125.16010) Full Text: DOI
Popescu, Cristian D.; Sonn, Jack; Wadsworth, Adrian R. \(n\)-torsion of Brauer groups as relative Brauer groups of abelian extensions. (English) Zbl 1118.11046 J. Number Theory 125, No. 1, 26-38 (2007). Reviewer: Maneesh Thakur (Bangalore) MSC: 11R52 16K50 PDFBibTeX XMLCite \textit{C. D. Popescu} et al., J. Number Theory 125, No. 1, 26--38 (2007; Zbl 1118.11046) Full Text: DOI
Aljadeff, Eli; Sonn, Jack; Wadsworth, Adrian R. Projective Schur groups of Henselian fields. (English) Zbl 1113.11066 J. Pure Appl. Algebra 208, No. 3, 833-851 (2007). Reviewer: H. Opolka (Braunschweig) MSC: 11R52 11S25 12F05 12G05 PDFBibTeX XMLCite \textit{E. Aljadeff} et al., J. Pure Appl. Algebra 208, No. 3, 833--851 (2007; Zbl 1113.11066) Full Text: DOI
Hwang, Y.-S.; Leep, David B.; Wadsworth, Adrian R. Galois groups of order \(2n\) that contain a cyclic subgroup of order \(n\). (English) Zbl 1051.12001 Pac. J. Math. 212, No. 2, 297-319 (2004). Reviewer: Richard Massy (Valenciennes) MSC: 12F10 PDFBibTeX XMLCite \textit{Y. S. Hwang} et al., Pac. J. Math. 212, No. 2, 297--319 (2004; Zbl 1051.12001) Full Text: DOI
Minac, Jan; Wadsworth, Adrian The first two cohomology groups of some Galois groups. arXiv:math/0304202 Preprint, arXiv:math/0304202 [math.NT] (2003). BibTeX Cite \textit{J. Minac} and \textit{A. Wadsworth}, ``The first two cohomology groups of some Galois groups'', Preprint, arXiv:math/0304202 [math.NT] (2003) Full Text: arXiv
Wadsworth, A. R. Valuation theory on finite dimensional division algebras. (English) Zbl 1017.16011 Kuhlmann, Franz-Viktor (ed.) et al., Valuation theory and its applications. Volume I. Proceedings of the international conference and workshop, University of Saskatchewan, Saskatoon, Canada, July 28-August 11, 1999. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 32, 385-449 (2002). Reviewer: Ivan D.Chipchakov (Sofia) MSC: 16K20 16W60 12E15 12J10 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Fields Inst. Commun. 32, 385--449 (2002; Zbl 1017.16011)
Hwang, Y.-S.; Wadsworth, A. R. Correspondences between valued division algebras and graded division algebras. (English) Zbl 0957.16012 J. Algebra 220, No. 1, 73-114 (1999). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 16K20 16W50 16K50 16W60 PDFBibTeX XMLCite \textit{Y. S. Hwang} and \textit{A. R. Wadsworth}, J. Algebra 220, No. 1, 73--114 (1999; Zbl 0957.16012) Full Text: DOI Link
Chacron, M.; Tignol, J.-P.; Wadsworth, A. R. Tractable fields. (English) Zbl 0948.12001 Can. J. Math. 51, No. 1, 10-25 (1999). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 12E15 11R52 16K20 PDFBibTeX XMLCite \textit{M. Chacron} et al., Can. J. Math. 51, No. 1, 10--25 (1999; Zbl 0948.12001) Full Text: DOI
Hwang, Y.-S.; Wadsworth, A. R. Algebraic extensions of graded and valued fields. (English) Zbl 0964.12003 Commun. Algebra 27, No. 2, 821-840 (1999). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 12J10 12F05 PDFBibTeX XMLCite \textit{Y. S. Hwang} and \textit{A. R. Wadsworth}, Commun. Algebra 27, No. 2, 821--840 (1999; Zbl 0964.12003) Full Text: DOI
Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. Index reduction formulas for twisted flag varieties. II. (English) Zbl 0918.16013 \(K\)-Theory 14, No. 2, 101-196 (1998). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 16K20 14L30 11E88 20G05 19E08 PDFBibTeX XMLCite \textit{A. S. Merkurjev} et al., \(K\)-Theory 14, No. 2, 101--196 (1998; Zbl 0918.16013) Full Text: DOI
Garibaldi, Ryan; Tignol, Jean-Pierre; Wadsworth, Adrian R. Galois cohomology of special orthogonal groups. (English) Zbl 1055.11512 Manuscr. Math. 93, No. 2, 247-266 (1997). Reviewer: R. Sujatha (MR1464368) MSC: 11E72 12G05 PDFBibTeX XMLCite \textit{R. Garibaldi} et al., Manuscr. Math. 93, No. 2, 247--266 (1997; Zbl 1055.11512) Full Text: DOI EuDML
Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. Index reduction formulas for twisted flag varieties. I. (English) Zbl 0874.16012 \(K\)-Theory 10, No. 6, 517-596 (1996). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 16K20 14L30 20G05 19E08 PDFBibTeX XMLCite \textit{A. S. Merkurjev} et al., \(K\)-Theory 10, No. 6, 517--596 (1996; Zbl 0874.16012) Full Text: DOI
Haile, Darrell E.; Morandi, Patrick J.; Wadsworth, Adrian R. Bézout orders and Henselization. (English) Zbl 0826.16010 J. Algebra 173, No. 2, 394-423 (1995). Reviewer: W.Rump (Eichstätt) MSC: 16H05 16W60 16S50 PDFBibTeX XMLCite \textit{D. E. Haile} et al., J. Algebra 173, No. 2, 394--423 (1995; Zbl 0826.16010) Full Text: DOI
Chacron, M.; Dherte, H.; Tignol, J.-P.; Wadsworth, A. R.; Yanchevskij, V. I. Discriminants of involutions on Henselian division algebras. (English) Zbl 0826.16013 Pac. J. Math. 167, No. 1, 49-79 (1995). Reviewer: M.-A.Knus (Zürich) MSC: 16K20 16W10 11R29 16W60 PDFBibTeX XMLCite \textit{M. Chacron} et al., Pac. J. Math. 167, No. 1, 49--79 (1995; Zbl 0826.16013) Full Text: DOI
Mináč, Ján; Wadsworth, Adrian R. The \(u\)-invariant for algebraic extensions. (English) Zbl 0824.11018 Jacob, Bill (ed.) et al., K-theory and algebraic geometry: connections with quadratic forms and division algebras. Summer Research Institute on quadratic forms and division algebras, July 6-24, 1992, University of California, Santa Barbara, CA (USA). Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 58, Part 2, 333-358 (1995). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 11E04 12E15 PDFBibTeX XMLCite \textit{J. Mináč} and \textit{A. R. Wadsworth}, Proc. Symp. Pure Math. 58, 333--358 (1995; Zbl 0824.11018)
Jacob, Bill; Wadsworth, Adrian R. Division algebras with no common subfields. (English) Zbl 0784.12001 Isr. J. Math. 83, No. 3, 353-360 (1993). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 12E15 16K20 12J10 PDFBibTeX XMLCite \textit{B. Jacob} and \textit{A. R. Wadsworth}, Isr. J. Math. 83, No. 3, 353--360 (1993; Zbl 0784.12001) Full Text: DOI
Wadsworth, Adrian R. The index reduction formula for generic partial splitting varieties. (English) Zbl 0788.16014 Commun. Algebra 21, No. 4, 1063-1070 (1993). Reviewer: R.Mollin (Calgary) MSC: 16K20 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Commun. Algebra 21, No. 4, 1063--1070 (1993; Zbl 0788.16014) Full Text: DOI
Leep, David B.; Wadsworth, A. R. The Haase norm theorem mod squares. (English) Zbl 0771.11045 J. Number Theory 42, No. 3, 337-348 (1992). Reviewer: H.Opolka (Braunschweig) MSC: 11R37 11R20 PDFBibTeX XMLCite \textit{D. B. Leep} and \textit{A. R. Wadsworth}, J. Number Theory 42, No. 3, 337--348 (1992; Zbl 0771.11045) Full Text: DOI
Wadsworth, Adrian R. Valuations on tensor products of symbol algebras. (English) Zbl 0743.16022 Azumaya algebras, actions, and modules, Proc. Conf. Honor Azumaya’s 70th Birthd., Bloomington/IN (USA) 1990, Contemp. Math. 124, 275-289 (1992). Reviewer: H.H.Brungs (Edmonton) MSC: 16W60 16K20 14F22 16H05 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Contemp. Math. 124, 275--289 (1992; Zbl 0743.16022)
Krüskemper, Martin; Wadsworth, Adrian R. A quaternion algebra of sublevel 3. (English) Zbl 0752.12001 Bull. Soc. Math. Belg., Sér. B 43, No. 2, 181-185 (1991). Reviewer: A.Sładek (Katowice) MSC: 12E15 11E81 16K20 PDFBibTeX XMLCite \textit{M. Krüskemper} and \textit{A. R. Wadsworth}, Bull. Soc. Math. Belg., Sér. B 43, No. 2, 181--185 (1991; Zbl 0752.12001)
Mammone, P.; Tignol, J.-P.; Wadsworth, A. Fields of characteristic 2 with prescribed u-invariants. (English) Zbl 0713.12002 Math. Ann. 290, No. 1, 109-128 (1991). Reviewer: J.P.Tignol MSC: 12E99 11E04 PDFBibTeX XMLCite \textit{P. Mammone} et al., Math. Ann. 290, No. 1, 109--128 (1991; Zbl 0713.12002) Full Text: DOI EuDML
Mammone, P.; Moresi, R.; Wadsworth, A. R. \(u\)-invariants of fields of characteristic 2. (English) Zbl 0733.11011 Math. Z. 208, No. 3, 335-348 (1991). Reviewer: P.Mammone (Mons) MSC: 11E04 12D15 PDFBibTeX XMLCite \textit{P. Mammone} et al., Math. Z. 208, No. 3, 335--348 (1991; Zbl 0733.11011) Full Text: DOI EuDML
Wadsworth, Adrian R. In a division algebra of even degree -1 is a product of squares. (English) Zbl 0705.16012 Bull. Soc. Math. Belg., Sér. B 42, No. 1, 103-104 (1990). Reviewer: Jan Van Geel MSC: 16K20 12D15 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Bull. Soc. Math. Belg., Sér. B 42, No. 1, 103--104 (1990; Zbl 0705.16012)
Wadsworth, Adrian R. The algebra generated by two commuting matrices. (English) Zbl 0703.15016 Linear Multilinear Algebra 27, No. 3, 159-162 (1990). Reviewer: P.Rudra MSC: 15A45 15A30 16D80 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Linear Multilinear Algebra 27, No. 3, 159--162 (1990; Zbl 0703.15016) Full Text: DOI
Chacron, M; Wadsworth, A. R. On decomposing c-valued division rings. (English) Zbl 0702.16006 J. Algebra 134, No. 1, 182-208 (1990). Reviewer: V.Yanchevskij MSC: 16K20 16D70 06F25 16W60 PDFBibTeX XMLCite \textit{M Chacron} and \textit{A. R. Wadsworth}, J. Algebra 134, No. 1, 182--208 (1990; Zbl 0702.16006) Full Text: DOI
Jacob, Bill; Wadsworth, Adrian Division algebras over Henselian fields. (English) Zbl 0692.16011 J. Algebra 128, No. 1, 126-179 (1990). Reviewer: V.Yanchevskij MSC: 16K20 16P10 12E15 11R52 16W20 16D70 PDFBibTeX XMLCite \textit{B. Jacob} and \textit{A. Wadsworth}, J. Algebra 128, No. 1, 126--179 (1990; Zbl 0692.16011) Full Text: DOI
Morandi, Patrick J.; Wadsworth, Adrian R. Baer orderings with noninvariant valuation ring. (English) Zbl 0695.16016 Isr. J. Math. 68, No. 2, 241-255 (1989). Reviewer: L.G.Makar-Limanov MSC: 16Kxx 16W80 16W20 16P10 06F25 PDFBibTeX XMLCite \textit{P. J. Morandi} and \textit{A. R. Wadsworth}, Isr. J. Math. 68, No. 2, 241--255 (1989; Zbl 0695.16016) Full Text: DOI
Morandi, Patrick J.; Wadsworth, Adrian R. Integral Dubrovin valuation rings. (English) Zbl 0694.16018 Trans. Am. Math. Soc. 315, No. 2, 623-640 (1989). Reviewer: H.H.Brungs MSC: 16Kxx 16W20 13A18 PDFBibTeX XMLCite \textit{P. J. Morandi} and \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 315, No. 2, 623--640 (1989; Zbl 0694.16018) Full Text: DOI
Leep, David B.; Wadsworth, Adrian R. The transfer ideal of quadratic forms and a Hasse norm theorem mod squares. (English) Zbl 0681.10015 Trans. Am. Math. Soc. 315, No. 1, 415-432 (1989). Reviewer: A.Sładek MSC: 11E04 11E12 11E08 11E16 11R18 PDFBibTeX XMLCite \textit{D. B. Leep} and \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 315, No. 1, 415--432 (1989; Zbl 0681.10015) Full Text: DOI
Wadsworth, Adrian R. Dubrovin valuation rings and Henselization. (English) Zbl 0642.16016 Math. Ann. 283, No. 2, 301-328 (1989). Reviewer: M.L.Teply MSC: 16Kxx 13A18 16W20 16P10 16H05 16U80 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Math. Ann. 283, No. 2, 301--328 (1989; Zbl 0642.16016) Full Text: DOI EuDML
Wadsworth, Adrian R. Dubrovin valuation rings. (English) Zbl 0691.16030 Perspectives in ring theory, Proc. NATO Adv. Res. Workshop, Antwerp/Belg. 1987, NATO ASI Ser., Ser. C 233, 359-374 (1988). Reviewer: P.M.Cohn MSC: 16Kxx 16W20 16L30 PDFBibTeX XML
Wadsworth, Adrian R. The residue division ring of a valued division algebra. (English) Zbl 0658.12015 Bull. Soc. Math. Belg., Sér. A 40, No. 2, 307-322 (1988). Reviewer: I.Grundhöfer MSC: 12J10 16Kxx 14F22 12E15 16H05 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Bull. Soc. Math. Belg., Sér. A 40, No. 2, 307--322 (1988; Zbl 0658.12015)
Elman, Richard; Wadsworth, Adrian R. Hereditarily quadratically closed fields. (English) Zbl 0669.12010 J. Algebra 111, 475-482 (1987). Reviewer: A.Prestel MSC: 12D15 12F05 11E04 PDFBibTeX XMLCite \textit{R. Elman} and \textit{A. R. Wadsworth}, J. Algebra 111, 475--482 (1987; Zbl 0669.12010) Full Text: DOI
Tignol, J.-P.; Wadsworth, A. R. Totally ramified valuations on finite-dimensional division algebras. (English) Zbl 0626.16005 Trans. Am. Math. Soc. 302, 223-250 (1987). Reviewer: K.Mathiak MSC: 16Kxx 16W20 PDFBibTeX XMLCite \textit{J. P. Tignol} and \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 302, 223--250 (1987; Zbl 0626.16005) Full Text: DOI
Wadsworth, Adrian R. Merkurjev’s elementary proof of Merkurjev’s theorem. (English) Zbl 0604.16022 Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part II, Contemp. Math. 55, 741-776 (1986). Reviewer: M.Kolster MSC: 16E20 16P10 18F25 14F22 16Kxx 12G05 PDFBibTeX XML
Wadsworth, Adrian R. Extending valuations to finite dimensional division algebras. (English) Zbl 0601.12028 Proc. Am. Math. Soc. 98, 20-22 (1986). Reviewer: A.Tschimmel-Faltings MSC: 12J20 12E15 16K20 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Proc. Am. Math. Soc. 98, 20--22 (1986; Zbl 0601.12028) Full Text: DOI
Jacob, Bill; Wadsworth, Adrian R. A new construction of noncrossed product algebras. (English) Zbl 0597.16016 Trans. Am. Math. Soc. 293, 693-721 (1986). Reviewer: S.Elliger MSC: 16Kxx 12G05 12E15 12J10 PDFBibTeX XMLCite \textit{B. Jacob} and \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 293, 693--721 (1986; Zbl 0597.16016) Full Text: DOI
Wadsworth, A. R. Discriminants in characteristic two. (English) Zbl 0567.12017 Linear Multilinear Algebra 17, 235-263 (1985). Reviewer: A.Tschimmel-Faltings MSC: 12F10 12E05 11E04 15A63 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Linear Multilinear Algebra 17, 235--263 (1985; Zbl 0567.12017) Full Text: DOI
Small, Lance W.; Wadsworth, Adrian R. Integrality of subrings of matrix rings. (English) Zbl 0555.16013 Pac. J. Math. 116, 195-200 (1985). Reviewer: M.Lorenz MSC: 16S50 16Rxx 16S20 15A30 PDFBibTeX XMLCite \textit{L. W. Small} and \textit{A. R. Wadsworth}, Pac. J. Math. 116, 195--200 (1985; Zbl 0555.16013) Full Text: DOI
Leep, David B.; Shapiro, Daniel B.; Wadsworth, Adrian R. Sums of squares in division algebras. (English) Zbl 0548.16019 Math. Z. 190, 151-162 (1985). MSC: 16Kxx 11E04 12D15 12E15 16W20 16P10 PDFBibTeX XMLCite \textit{D. B. Leep} et al., Math. Z. 190, 151--162 (1985; Zbl 0548.16019) Full Text: DOI EuDML
Wadsworth, Adrian R. p-Henselian fields: K-theory, Galois cohomology, and graded Witt rings. (English) Zbl 0506.12024 Pac. J. Math. 105, 473-496 (1983). MSC: 12J10 12G05 11E16 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Pac. J. Math. 105, 473--496 (1983; Zbl 0506.12024) Full Text: DOI
Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsworth, Adrian R. Witt rings and Brauer groups under multiquadratic extensions. I. (English) Zbl 0492.10014 Am. J. Math. 105, 1119-1170 (1983). MSC: 11E04 14F22 11E16 12D15 PDFBibTeX XMLCite \textit{R. Elman} et al., Am. J. Math. 105, 1119--1170 (1983; Zbl 0492.10014) Full Text: DOI
Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R. Witt rings and Brauer groups under multiquadratic extensions. II. (English) Zbl 0492.10015 J. Algebra 78, 58-90 (1982). MSC: 11E04 14F22 11E16 12D15 PDFBibTeX XMLCite \textit{D. B. Shapiro} et al., J. Algebra 78, 58--90 (1982; Zbl 0492.10015) Full Text: DOI
Small, Lance W.; Wadsworth, Adrian R. Some examples of rings. (English) Zbl 0453.16008 Commun. Algebra 9, 1105-1118 (1981). MSC: 16Rxx 16Kxx 16D70 16P40 16N60 PDFBibTeX XMLCite \textit{L. W. Small} and \textit{A. R. Wadsworth}, Commun. Algebra 9, 1105--1118 (1981; Zbl 0453.16008) Full Text: DOI
Fein, Burton; Schacher, Murray; Wadsworth, Adrian Division rings and the square root of -1. (English) Zbl 0452.16011 J. Algebra 65, 340-346 (1980). MSC: 16Kxx 12E15 PDFBibTeX XMLCite \textit{B. Fein} et al., J. Algebra 65, 340--346 (1980; Zbl 0452.16011) Full Text: DOI
Small, Lance W.; Wadsworth, Adrian R. An example in affine PI-rings. (English) Zbl 0449.16014 Isr. J. Math. 36, 285-286 (1980). MSC: 16Rxx 16N60 16Dxx 16S50 PDFBibTeX XMLCite \textit{L. W. Small} and \textit{A. R. Wadsworth}, Isr. J. Math. 36, 285--286 (1980; Zbl 0449.16014) Full Text: DOI
Elman, Richard; Lam, T. Y.; Wadsworth, Adrian R. Quadratic forms under multiquadratic extensions. (English) Zbl 0425.10021 Indag. Math. 42, 131-145 (1980). MSC: 11E04 12F99 PDFBibTeX XMLCite \textit{R. Elman} et al., Indag. Math. 42, 131--145 (1980; Zbl 0425.10021)
Wadsworth, Adrian R. Polynomial invariants for operators. (English) Zbl 0444.47018 Integral Equations Oper. Theory 2, 421-433 (1979). MSC: 47A53 47Gxx 47B10 16Rxx PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Integral Equations Oper. Theory 2, 421--433 (1979; Zbl 0444.47018) Full Text: DOI
Elman, R.; Lam, T. Y.; Wadsworth, A. R. Pfister ideals in Witt rings. (English) Zbl 0401.10032 Math. Ann. 245, 219-245 (1979). MSC: 11E04 PDFBibTeX XMLCite \textit{R. Elman} et al., Math. Ann. 245, 219--245 (1979; Zbl 0401.10032) Full Text: DOI EuDML
Wadsworth, Adrian R. The Krull dimensions of tensor products of commutative algebras over a field. (English) Zbl 0398.13008 J. Lond. Math. Soc., II. Ser. 19, 391-401 (1979). MSC: 13C15 13G05 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, J. Lond. Math. Soc., II. Ser. 19, 391--401 (1979; Zbl 0398.13008) Full Text: DOI
Elman, R.; Lam, T. Y.; Wadsworth, A. R. Orderings under field extensions. (English) Zbl 0398.12019 J. Reine Angew. Math. 306, 7-27 (1979). MSC: 12J15 06F30 12F05 12F20 11E04 PDFBibTeX XMLCite \textit{R. Elman} et al., J. Reine Angew. Math. 306, 7--27 (1979; Zbl 0398.12019) Full Text: Crelle EuDML
Elman, R.; Lam, T. Y.; Wadsworth, A. R. Function fields of Pfister forms. (English) Zbl 0395.10028 Invent. Math. 51, 61-75 (1979). MSC: 11E04 12F99 PDFBibTeX XMLCite \textit{R. Elman} et al., Invent. Math. 51, 61--75 (1979; Zbl 0395.10028) Full Text: DOI EuDML
Resco, Richard; Small, Lance W.; Wadsworth, Adrian R. Tensor products of division rings and finite generation of subfields. (English) Zbl 0377.16010 Proc. Am. Math. Soc. 77, 7-10 (1979). MSC: 16Kxx 16P10 PDFBibTeX XMLCite \textit{R. Resco} et al., Proc. Am. Math. Soc. 77, 7--10 (1979; Zbl 0377.16010) Full Text: DOI
Elman, Richard; Lam, T.-Y.; Wadsworth, Adrian R. [Arason, J. K.] Amenable fields and Pfister extensions. Appendix I: Excellent subrings of Witt rings. Appendix II: Excellence of \(F(\varphi)/F\) for 2-fold Pfister forms (by Jon Kr. Arason). (English) Zbl 0385.12010 Proc. Conf. quadratic Forms, Kingston 1976, Queen’s Pap. pure appl. Math. 46, 445-492 (1977). MSC: 12F99 15A63 13K05 11E04 PDFBibTeX XML
Wadsworth, Adrian R. Hilbert subalgebras of finitely generated algebras. II. (English) Zbl 0363.13005 Commun. Algebra 5, 863-872 (1977). MSC: 13C05 13G05 13E10 13C15 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Commun. Algebra 5, 863--872 (1977; Zbl 0363.13005) Full Text: DOI
Wadsworth, Adrian R.; Shapiro, Daniel B. Spaces of similarities. III: Function fields. (English) Zbl 0358.15026 J. Algebra 46, 182-188 (1977). Reviewer: Daniel B. Shapiro MSC: 15A63 15A66 11E16 PDFBibTeX XMLCite \textit{A. R. Wadsworth} and \textit{D. B. Shapiro}, J. Algebra 46, 182--188 (1977; Zbl 0358.15026) Full Text: DOI
Wadsworth, Adrian R.; Shapiro, Daniel B. On multiples of round and Pfister forms. (English) Zbl 0355.15022 Math. Z. 157, 53-62 (1977). MSC: 15A63 11E16 PDFBibTeX XMLCite \textit{A. R. Wadsworth} and \textit{D. B. Shapiro}, Math. Z. 157, 53--62 (1977; Zbl 0355.15022) Full Text: DOI EuDML
Wadsworth, Adrian R.; Shapiro, Daniel B. On multiples of round and Pfister forms. (English) Zbl 0348.15015 Math. Z. (to appear). MSC: 15A63 PDFBibTeX XML Full Text: EuDML
Wadsworth, Adrian R. Hilbert subalgebras of finitely generated algebras. (English) Zbl 0343.13004 J. Algebra 43, 298-304 (1976). MSC: 13C10 13E10 16Dxx 13A15 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, J. Algebra 43, 298--304 (1976; Zbl 0343.13004) Full Text: DOI
Wadsworth, Adrian R. Similarity of quadratic forms and isomorphism of their function fields. (English) Zbl 0336.15013 Trans. Am. Math. Soc. 208, 352-358 (1975). MSC: 15A63 11E16 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 208, 352--358 (1975; Zbl 0336.15013) Full Text: DOI
Wadsworth, Adrian R. Pairs of domains where all intermediate domains are Noetherian. (English) Zbl 0294.13010 Trans. Am. Math. Soc. 195, 201-211 (1974). MSC: 13E05 13G05 PDFBibTeX XMLCite \textit{A. R. Wadsworth}, Trans. Am. Math. Soc. 195, 201--211 (1974; Zbl 0294.13010) Full Text: DOI