Michael K. Kinyon's Publications

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I. Books

Edited

II. Refereed Research Articles: Journals

A. Appeared

  1. (with R.N. Bryan and D.H. Tucker) Coupled linear operators, Results in Math. 15(1-2) (1989), pp. 1-14. MR 90a:47001, Zbl 673.47012.

  2. The adjoint problem for coupled linear operators, Results in Math. 18(1-2) (1990), pp. 60-73. MR 91k:47006, Zbl 721.47002.

  3. (with W.J. Coles) Summability methods for oscillation of linear second-order matrix differential equations, Rocky Mountain Math. J. 24(1) (1994), pp. 19-36. MR 95a:34048, Zbl 807.34042.

  4. (with A.A. Sagle) Automorphisms and derivations of ordinary differential equations and algebras, Rocky Mountain J. Math. 24(1) (1994), pp. 135-154. MR 95d:34015, Zbl 809.34015.

  5. (with A.A. Sagle) Quadratic dynamical systems and algebras, J. Diff. Eq. 117(1) (1995), pp. 67-126. MR 96e:34018, Zbl 830.17001.

  6. (with N.C. Hopkins) Automorphism eigenspaces of quadratic differential equations and qualitative theory, Diff. Eq. and Dyn. Sys. 5(2) (1997), pp. 121-138. MR 99i:34017, Zbl 891.34006.

  7. (with S. Walcher) Ordinary differential equations admitting a finite linear group of symmetries, J. Math. Anal. App. 216(1) (1997), pp. 180-196. MR 99c:34011, Zbl 910.34043.

  8. (with N.C. Hopkins) Quadratic differential equations in Z_2- graded algebras, Trans. Amer. Math. Soc. 351(11) (1999), pp. 4545-4559. MR 2000a:34013, Zbl 932.17003.

  9. Global left loop structures on spheres, Comment. Math. Univ. Carolin. 41(2) (2000), 325-346. MR 2001h:20101, Zbl 1041.20044.

  10. (with A.M. Bloch and S.V. Drakunov) Stabilization of nonholonomic systems using isospectral flows, SIAM J. on Control and Optimization 38(3) (2000), pp. 855-874. MR 2001b:93056, Zbl 1056.93603.

  11. (with A.A. Ungar) The gyro-structure of the complex unit disk, Math. Mag. 73(4) (2000), 273-284. MR 2002h:51011

  12. (with O. Jones) Loops and semidirect products, Comm. Algebra 28(9) (2000), 4137-4164. MR 2001h:20100, Zbl 0974.20049

  13. (with D.L. Alvis) Birkhoff's Theorem for panstochastic matrices, Amer. Math. Monthly 108(1) (2001), 28-37. MR 2002h:15028, Zbl 1004.15024

  14. (with A. Weinstein) Leibniz algebras, Courant algebroids, and multiplications on homogeneous spaces, Amer. J. Math. 123(3) (2001), 525-550. MR 2002d:17004, Zbl 0986.17001

  15. (with K. Kunen and J.D. Phillips) Every diassociative A-loop is Moufang, Proc. Amer. Math. Soc. 130 (2002), 619-624. MR 2002k:20124, Zbl 0990.20044

  16. (with A.A. Sagle) Nahm algebras, J. Algebra 247 (2002), 269-294. MR 2002k:17002, Zbl 1017.17001

  17. (with J.D. Phillips) A note on trimedial quasigroups, Quasigroups and Related Systems 9 (2002), 65-66.

  18. (with K. Kunen and J.D. Phillips) A generalization of Moufang and Steiner loops, Algebra Universalis 48 (2002), 81-101. MR 2003m:20096

  19. (with O. Chein, A. Rajah, and P. Vojtechovsky) Loops and the Lagrange property, Results in Math. 43 (2003), 74-78. MR 2004a:20072

  20. (with J.D. Phillips) Commutants of Bol loops of odd order, Proc. Amer. Math. Soc. 132 (2004), 617-619. Zbl 1044.20041.

  21. (with K. Kunen and J.D. Phillips) Diassociativity in conjugacy closed loops, Comm. Algebra 32 (2004), 767-786. MR 2005h:20159, Zbl pre02127570

  22. (with J.D. Phillips) Axioms for trimedial quasigroups, Comment. Math. Univ. Carolinae 45 (2004), 287-294.

  23. (with H. Kiechle) Infinite simple Bol loops, Comment. Math. Univ. Carolinae 45 (2004), 275-278.
  24. (with K. Kunen) The structure of extra loops, Quasigroups and Related Systems 12 (2004), 39-60. MR 2006a:20121, Zbl pre02144157.
  25. (with J.D. Phillips) Rectangular loops and rectangular quasigroups, Comput. Math. Appl. 49 (2005) 1679-1685.

B. Accepted

  1. (with T. Foguel and J.D. Phillips), On twisted subgroups and Bol loops of odd order, to appear in Rocky Mountain Math. J.

  2. (with M. Aschbacher and J.D. Phillips) Finite Bruck loops, to appear in Trans. Amer. Math. Soc.
  3. (with J.D. Phillips and Petr Vojtechovsky) Loops of Bol-Moufang type with a subgroup of index 2, to appear in Bul. Acad. Stiinte Repub. Mold. Mat.
  4. (with J.D. Phillips and Petr Vojtechovsky) C-loops: extensions and constructions, to appear in J. of Algebra and its Applications
  5. (with K. Kunen) Power-associative, conjugacy closed loops, to appear in J. Algebra

C. Submitted

  1. Leibniz algebras, Lie racks, and digroups
  2. (with K. Kunen and J.D. Phillips) Strongly right alternative rings and Bol loops
  3. (with T. Kepka and J.D. Phillips) The structure of F-quasigroups
  4. (with T. Kepka and J.D. Phillips) F-quasigroups and generalized modules
  5. (with T. Kepka and J.D. Phillips) F-quasigroups isotopic to groups

III. Refereed Research Articles: Books and Proceedings

  1. (with A.A. Sagle) Quadratic differential systems and nonassociative algebras, in Differential Equations, Dynamical Systems and Control Science, K.D. Elworthy, W.N. Everitt, and E.B. Lee (eds.), Lecture Notes in Pure and Applied Mathematics #152, Marcel Dekker, 1994, pp. 115-141. MR 94i:34025, Zbl 797.34003.

  2. Quadratic differential equations on graded structures, in Nonassociative Algebra and Its Applications, S. Gonzalez (ed.), Mathematics and its Applications #303, Kluwer Academic Publishers, 1994. MR 96f:17005, Zbl 817.17002.

  3. (with A.A. Sagle) Blow up of quadratic dynamical systems and algebras, in Nonassociative Algebra and Its Applications, S. Gonzalez (ed.), Mathematics and its Applications #303, Kluwer Academic Publishers, 1994. MR 96c:34018, Zbl 817.17003.

  4. (with A.M. Bloch and S.V. Drakunov) Stabilization of Brockett's generalized canonical driftless system, Proceedings of the 36th IEEE Conference on Decision and Control, 1997, pp. 4260-4265.

  5. (with A.M. Bloch and S.V. Drakunov) Nonholonomic stabilization and isospectral flows, Proceedings of the 37th IEEE Conference on Decision and Control, 1998, pp. 3581-3586.

IV. Refereed Pedagogical Articles

  1. A note on an "unnatural" isomorphism, Pi Mu Epsilon J. 10 (Fall 1997), no. 7, pp. 525-527.

  2. Solution to Problem #641, College Math. J. 31 (2000), pp. 63-64.

  3. Solution to Problem #1626, Math. Mag. 75 (2002), p. 231.

V. Unrefereed Articles

  1. (with H.C. Myung and A.A. Sagle) Quadratic differential equations, in Hadronic Mechanics and Nonpotential Interactions 5 - Part I. Mathematics, H.C. Myung (ed.), Nova Science, 1991. MR 94m:34024, Zbl 797.17001.

  2. (with A.A. Sagle) Quadratic dynamical systems, in Proceedings of the International Symposium on Nonassociative Algebras and Related Topics, K. Yamaguti and N. Kawamoto (eds.), World Scientific, 1992. MR 93e:58161, Zbl 785.58041.

VI. Unpublished Articles

  1. Density invariance of certain operational quantities of bounded linear operators in normed spaces (last revised: August 2001, original version: IUSB Technical Report #M090695).
Last Modified: 4 January 2006