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Research Report 2002 - Mathematics

Journal Article
Almeida, J and Escada, A*, “On the equation V*G=EV”, Journal of Pure and Applied Algebra, 166 (1) pp. 1-28. doi:10.1016/S0022-4049(01)00010-X ISSN 0022-4049 (2002) [Refereed Article] [Detail]
Belward, C* and Howes, T* and Forbes, LK, “An Analytic Simplification for the Reconstruction Problem of Electrical Impedance Tomography”, International Journal of Imaging Systems and Technology, 12 (1) pp. 9-15. doi:10.1002/ima.10008 ISSN 0899-9457 (2002) [Refereed Article] [Detail]
Brideson, MA and Forbes, LK and Crozier, S*, “Determining complicated winding patterns for shim coils using stream functions and the target-field method”, Concepts in Magnetic Resonance, 14 (1) pp. 9-18. doi:10.1002/cmr.10000 ISSN 1043-7347 (2002) [Refereed Article] [Detail]
Bulte, DP and Langman, R, “Origins of the magnetomechanical effect”, Journal of Magnetism and Magnetic Materials, 251 (2) pp. 229-243. doi:10.1016/S0304-8853(02)00588-7 ISSN 0304-8853 (2002) [Refereed Article] [Detail]
Crozier, S* and Forbes, LK and Brideson, MA, “Ellipsoidal Harmonic (Lamé) MRI Shims”, IEEE Transactions 0n Applied Superconductivity, 12 (4) pp. 1880-1885. doi:10.1109/TASC.2002.805958 ISSN 1051-8223 (2002) [Refereed Article] [Detail]
Dascalescu, S* and Kelarev, AV and Nastasescu, C*, “Semigroup gradings of upper triangular matrix rings”, Revue Roumaine de Mathematiques Pures et Appliquees, 46 (5) pp. 611-615. ISSN 0035-3965 (2001) [Refereed Article] [Detail]
Dascalescu, S* and Kelarev, AV and van Wyk, L*, “Semigroup gradings of full matrix rings”, Communications in Algebra, 29 (11) pp. 5023-5031. doi:10.1081/AGB-100106799 ISSN 0092-7872 (2001) [Refereed Article] [Detail]
Dominik, M* and Albrow, MD* and Beaulieu, J-P and Caldwell, JAR* and DePoy, DL* and Gaudi, BS* and Gould, A* and Greenhill, JG and Hill, KM and Kane, S* and Martin, R* and Menzies, J* and Naber, RM* and Pel, JW* and Pogge, RW* and Pollard, KR* and Sackett, PD* and Sahu, KC* and Vermaak, P* and Watson, RD and Williams, A*, “The PLANET microlensing follow-up network: results and prospects for the detection of extra-solar planets”, Planetary and Space Science, 50 (3) pp. 299-307. doi:10.1016/S0032-0633(01)00126-X ISSN 0032-0633 (2002) [Refereed Article] [Detail]
Fearnley-Sander, DP and Kelarev, AV and Stokes, T*, “Non-commutative Modal Rings and Internalized Equality”, Algebra Colloquium, 9 (1) pp. 65-80. ISSN 1005-3867 (2002) [Refereed Article] [Detail]
Forbes, LK and Crozier, S*, “A novel target-field method for finite-length magnetic resonance shim coils: II. Tesseral shims”, Journal of Physics D: Applied Physics, 35 (9) pp. 839-849. doi:10.1088/0022-3727/35/9/303 ISSN 0022-3727 (2002) [Refereed Article] [Detail]
Harington, JS* and McGlashan, ND and Chelkowska, EZ, “Significant decline of hepatocellular carcinoma from 1964 to 1996 in black gold miners from Mozambique working in South Africa”, South African Journal of Science, 98 (11-12) pp. 601-603. ISSN 0038-2353 (2002) [Refereed Article] [Detail]
Hocking, GC* and Vanden-Broeck, JM* and Forbes, LK, “A note on withdrawal from a fluid of finite depth through a point sink”, ANZIAM Journal, 44 pp. 181-191. doi:10.1017/S1446181100013882 ISSN 1446-1811 (2002) [Refereed Article] [Detail]
Jackson, MG, “On locally finite varieties with undecidable equational theory”, Algebra Universalis, 47 (1) pp. 1-6. doi:10.1007/s00012-002-8169-0 ISSN 0002-5240 (2002) [Refereed Article] [Detail]
Jackson, MG, “Small Inherently Nonfinitely Based Finite Semigroups”, Semigroup Forum, 64 (2) pp. 297-324. doi:10.1007/s002330010085 ISSN 0037-1912 (2002) [Refereed Article] [Detail]
Johnston, PR* and Elliott, D, “Transformations for evaluating singular boundary element integrals”, Journal of Computational and Applied Mathematics, 146 (2) pp. 231-251. doi:10.1016/S0377-0427(02)00357-6 ISSN 0377-0427 (2002) [Refereed Article] [Detail]
Kelarev, AV and Sokratova, OV*, “Two algorithms for languages recognized by graph algebras”, International Journal of Computer Mathematics, 79 (12) pp. 1317-1327. doi:10.1080/0020716021000049765 ISSN 0020-7160 (2002) [Refereed Article] [Detail]
Kelarev, AV and Quinn, SJ, “Directed Graphs and Combinatorial Properties of Semigroups”, Journal of Algebra, 251 (1) pp. 16-26. doi:10.1006/jabr.2001.9128 ISSN 0021-8693 (2002) [Refereed Article] [Detail]
Kelarev, AV, “An algorithm for repeated convex regions in geographic information systems”, Far East Journal of Applied Mathematics, 8 (1) pp. 75-79. ISSN 0972-0960 (2002) [Refereed Article] [Detail]
Kelarev, AV, “On undirected Cayley graphs”, Australasian Journal of Combinatorics, 25 pp. 73-78. ISSN 1034-4942 (2002) [Refereed Article] [Detail]
McCue, S* and Forbes, LK, “Free-surface flows emerging from beneath a semi-infinite plate with constant vorticity”, Journal of Fluid Mechanics, 461 pp. 387-407. doi:10.1017/S0022112002008510 ISSN 0022-1120 (2002) [Refereed Article] [Detail]
Snape-Jenkinson, CJ* and Crozier, S* and Forbes, LK, “NMR shim coil design utilising a rapid spherical harmonic calculation method”, ANZIAM Journal, 43 pp. 375-386. ISSN 1446-1811 (2002) [Refereed Article] [Detail]
Trotter, PG, “Completely regular semigroups”, Semigroup Forum, 64 (2) pp. 333-336. doi:10.1007/s002330010103 ISSN 0037-1912 (2002) [Letter or Note in Journal] [Detail]
Book
Kelarev, AV, Ring Constructions and Applications, World Scientific, New Jersey, London, Singapore, Hong Kong, pp. 160. ISBN 981-02-4745-1 (2002) [Authored Research Book] [Detail]
McPherson, G, Applying and Interpreting Statistics, Springer Verlag, New York, pp. 656. ISBN 0-387-95110-5 (2001) [Revision/New Edition] [Detail]
Chapter in Book
Binder, F* and Lidl, R, “Applications of Fields”, The Concise Handbook of Algebra, Kluwer Academic Publishers, AV Mikhalev, GF Pilz (ed), Dordrecht, pp. 377-381. ISBN 0-7923-7072-4 (2002) [Research Book Chapter] [Detail]
Pilz, GF* and Shevrin, N* and Trotter, PG, “Applications of Semigroups”, The Concise Handbook of Algebra, Kluwer Academic Publishers, AV Mikhalev, G Pilz (ed), Dordrecht, pp. 66-70. ISBN 0-7923-7072-4 (2002) [Research Book Chapter] [Detail]
Trotter, PG, “Inverse semigroups”, The Concise Handbook of Algebra, Kluwer Academic Publishers, AV Mikhalev, G Pilz (ed), Dordrecht, pp. 42-46. ISBN 0-7923-7072-4 (2002) [Research Book Chapter] [Detail]
Trotter, PG, “Regular Semigroups”, The Concise Hanbook of Algebra, Kluwer Academic Publishers, AV Mikhalev, G Pilz (ed), Dordrecht, pp. 35-38. ISBN 0-7923-7072-4 (2002) [Research Book Chapter] [Detail]
Review
Kelarev, AV, “A method for the compact coding of an image (N.Sh.Dzhikiya)”, Mathematical Reviews, 2002 (j) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “An algebraic construction of codes for Slepian-Wolf source networks (T.Uyematsu)”, Mathematical Reviews, 2002 (m) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “Finite state automata (B. Steinberg)”, Mathematical Reviews, 2002 (c) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “Grobner bases over Galois rings with an application to decoding alternant codes (E. Byrne, P. Fitzpatrick)”, Mathematical Reviews, 2002 (d) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “Mathematics of information and coding (T.S.Han, K.Kobayashi)”, Mathematical Reviews, 2002 (m) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “One-sided noncommutative Grobner bases with applications to computing Green's relations (A.Heyworth)”, Mathematical Reviews, 2002 (e) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “Slender matrix languages (R. Stiebe)”, Mathematical Reviews, 2002 (k) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “Some new results on primitive words and language classes (M. Kudlek)”, Mathematical Reviews, 2002 (d) pp. 1. (2002) [Review Single Work] [Detail]
Kelarev, AV, “Triangular matrix representations (G.F.Birkenmeier, H.E.Heatherly, J.Y.Kim, J.K.Park)”, Mathematical Reviews, 2002 (d) pp. 1. (2002) [Review Single Work] [Detail]
Conference Publication
Bespamyatnikh, SN* and Kelarev, AV, “An algorithm for analysis of data in geographic information systems”, Proceedings of the Thirteenth Australasian Workshop on Combinatorial Algorithms, July 7-10, 2002, Queensland, pp. 1-10. ISBN 1 86499 638 2 (2002) [Refereed Conference Paper] [Detail]
Forbes, LK and Crozier, S*, “Applied Mathematics and MRI Coil Design”, Proceedings EMAC 2002, 29 September-2 October 2002, Brisbane, pp. 41-48. ISSN 1447-378X (2002) [Refereed Conference Paper] [Detail]
Kelarev, AV, “Labelled Cayley graphs and minimal automata”, 27th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing; Abstracts, 9-13 December 2002, Newcastle, pp. 29. (2002) [Conference Extract] [Detail]
Kelarev, AV, “On error-correcting codes as ideals in group rings”, 46th Annual Meeting of the Australian Mathematical Society: Abstracts, 30 September-3 October 2002, Newcastle, pp. 96. (2002) [Conference Extract] [Detail]
Purdon, PJ, “Equational reasoning with limited knowledge”, Proceedings of the Sixth Asian Technology Conference in Mathematics, 15-19 December, 2001, Melbourne, pp. 399-407. ISBN 0 86459 1829 (2001) [Refereed Conference Paper] [Detail]
Trotter, PG, “Decidability problems in finite semigroups”, Semigroups, Algorithms, Automata and Languages , May-July 2001, Coimbra, Portugal, pp. 501-515. ISBN 981-238-099-X (2002) [Refereed Conference Paper] [Detail]
Patent
Forbes, LK and Crozier, S* and Doddrell, DM*, Asymmetric zonal shim coils for magnetic resonance (2002) [Patent] [Detail]

* This author is not affiliated with the University of Tasmania.