Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
W. Keith Nicholson
- Professor
- Pure Mathematics
Office Hours
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
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| - | 12p‑1p | - | - | - | - | - |
Research Interests
- Noncommutative rings, especially classes of exchange rings
- Study of classes of semiperfect min-injective rings, with applications to the Faith conjecture and other questions
- Study of clean rings and their relationship to unit regular and stable rings
- Morphic rings and modules
- Reflexivity of direct sums of modules over finite dimensional algebras
Currently Teaching
| F2012 - MATH 311 - Linear Methods II | |||||||||||||||||
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| F2012 - PMAT 431 - Algebra II | |||||||||||||||||
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| W2013 - MATH 211 - Linear Methods I | |||||||||||||||||
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| W2013 - MATH 311 - Linear Methods II | |||||||||||||||||
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| W2013 - PMAT 429 - Cryptography-Design and Analysis of Cryptosystems | |||||||||||||||||
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| W2013 - PMAT 511 - Algebra III | |||||||||||||||||
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| W2013 - PMAT 611 - Algebra III | |||||||||||||||||
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Bars
Bars
Publications
Book
- Nicholson, W. Keith. Linear Algebra with Applications, Sixth Edition McGraw Hill Ryerson, 2009. 566.
- Gilbert, William J. and Nicholson, W. Keith. Modern algebra with applications , Wiley-Interscience [John Wiley \& Sons], 2004. xviii+330.
- Nicholson, W. Keith and Yousif, Mohammed. Quasi-Frobenius Rings 158. Cambridge University Press, 2003. xviii+307.
- Nicholson, W. Keith. Introduction to abstract algebra , John Wiley \& Sons Inc., 1999. xx+599.
Conference Proceedings
- Nicholson, W. Keith and Zhou, Y.. Clean rings: A survey 2004.
- Nicholson, W. Keith. A survey of morphic rings and modules 2004.
Journal Paper
- Li, Y. and Nicholson, W. Keith. Ehrlich's theorem for groups 81. 2010. 304-309.
- Li, Y., Nicholson, W. Keith and Zan, L.. Morphic groups 214. 2010. 1827-1834.
- Alkan, M., Nicholson, W. Keith and Ozcan, A.C.. A generalization of projective covers 319. 2008. 4947-4960.
- Camillo, V.P., Nicholson, W. Keith and Wang, Z.. Left quasi-morphic rings 7. 2008. 725-733.
- Nicholson, W. Keith and Diesl, A.J.. Some examples concerning left morphic elements in corner rings 315. 2007. 745-750.
- Camillo, V.P. and Nicholson, W. Keith. Quasi-morphic rings 6. 2007. 789-799.
- Camillo, V.P., Khurana, D., Lam, T.Y., Nicholson, W. Keith and Zhou, Y.. Continuous modules are clean 304. 2006. 94-111.
- Chen, J., Nicholson, W. Keith and Zhou, Y.. Group rings in which every element is uniquely the sum of a unit and an idempotent 306. 2006. 453-460.
- Nicholson, W. Keith and Sanchez Campos, E.. Morphic modules 33. 2005. 2629-2647.
- Nicholson, W. Keith and Zhou, Y.. Endomorphisms that are the sum of a unit and a root of a fixed polynomial 49.2 2005. 265-269.
- Nicholson, W. Keith and Zhou, Y.. Strong lifting 285. 2005. 795-818.
- Nicholson, W. Keith and Zhou, Y.. Clean general rings 291. 2005. 297-311.
- Nicholson, W. Keith, Varadarajan, K. and Zhou, Y.. Clean endomorphism rings 83. 2004. 340-343.
- Nicholson, W. Keith and Campos, E. . Principal rings with the dual of the isomorphism theorem 46.1 2004. 181-191.
- Nicholson, W. Keith and Zhou, Y.. Rings in which elements are uniquely the sum of an idempotent and a unit 46. 2004. 227-236.
- Nicholson, W. Keith and Sanchez Campos, E.. Rings with the dual of the isomorphism theorem 271. 2004. 391-406.
- Nicholson, W. Keith and Zhou, Y.. Clean rings: A survey 2004. 181-198.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. On quasi-Frobenius rings , Cambridge University Press, 2003. xviii+307.
- Nicholson, W. Keith, Park, Jae , Yousif, M.F. and Yousif, Mohammed. On simple-injective rings 9.3 Cambridge University Press, 2002. 259-264.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Weakly continuous and C2-rings 29. 2001. 2429-2446.
- Han, Juncheol and Nicholson, W. Keith. Extensions of clean rings 29.6 Cambridge University Press, 2001. 2589-2595.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. FP-rings 29. Cambridge University Press, 2001. 415-425.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. C2-rings and the FGF-conjecture 273. Amer. Math. Soc., 2001. 245-251.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. On finitely embedded rings 28.11 Cambridge University Press, 2000. 5311-5315.
- Park, Jae , Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Extensions of simple-injective rings 28.10 Cambridge University Press, 2000. 4665-4675.
- Ara, Pere , Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. A look at the Faith conjecture 42. Cambridge University Press, 2000. 391-404.
- Camillo, V. , Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Ikeda-Nakayama rings 226. 2000. 1001-1010.
- Han, Juncheol and Nicholson, W. Keith. Notes on clean rings 1999. 23-32.
- Nicholson, W. Keith, Park, J. K., Yousif, M.F. and Yousif, Mohammed. Principally quasi-injective modules 27.4 John Wiley & Sons Inc., 1999. 1683-1693.
- Nicholson, W. Keith. Strongly clean rings and Fitting's lemma 27. 1999. 3583-3592.
- Nicholson, W. Keith and Yousif, Mohammed. On dual rings 28.1 John Wiley & Sons Inc., 1999. 65-70.
- Nicholson, W. Keith and Varadarajan, Kalathoor . Countable linear transformations are clean 126.1 1998. 61-64.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Annihilators and the CS-condition 40. John Wiley & Sons Inc., 1998. 213-222.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Corrigendum: ``Annihilators and the CS-condition'' 40.3 John Wiley & Sons Inc., 1998. 475-476.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. On perfect simple-injective rings 125.4 1997. 979-985.
- Fuller, K. R., Nicholson, W. Keith and Watters, J. F.. On k-reflexive representations of algebras 125.1 John Wiley & Sons Inc., 1997. 47-50.
- Nicholson, W. Keith. On exchange rings 25.6 John Wiley & Sons Inc., 1997. 1917-1918.
- Nicholson, W. Keith. Very semisimple modules 104.2 John Wiley & Sons Inc., 1997. 159-162.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Mininjective rings 187.2 John Wiley & Sons Inc., 1997. 548-578.
- Fuller, K. R., Nicholson, W. Keith and Watters, J. F.. Direct sums of reflexive modules 239. John Wiley & Sons Inc., 1996. 201-214.
- Nicholson, W. Keith. An elementary proof of a characterization of semiperfect rings 25.2 John Wiley & Sons Inc., 1996. 195-197.
- Nicholson, W. Keith and Yousif, M.F.. On a theorem of Camillo 23. 1995. 5309-5314.
- Fuller, K. R., Nicholson, W. Keith and Watters, J. F.. Algebras whose projective modules are reflexive 98.2 John Wiley & Sons Inc., 1995. 135-150.
- Nicholson, W. Keith and Varadarajan, Kalathoor . Endomorphisms and global dimension 67.1-2 1995. 93-96.
- Nicholson, W. Keith and Varadarajan, Kalathoor . Complement preserving operators 30.3 1995. 225-232.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Principally injective rings 174.1 1995. 77-93.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. On quasi-continuous rings 120.4 John Wiley & Sons Inc., 1994. 1049-1051.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. Continuous rings with chain conditions 97.3 John Wiley & Sons Inc., 1994. 325-332.
- Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed. On completely principally injective rings 49.3 John Wiley & Sons Inc., 1994. 513-518.
- Nicholson, W. Keith. On PP-endomorphism rings 36.2 John Wiley & Sons Inc., 1993. 227-230.
- Nicholson, W. Keith. A short proof of the Wedderburn-Artin theorem 22.1 John Wiley & Sons Inc., 1993. 83-86.
- Nicholson, W. Keith. On PP-rings 27.2 John Wiley & Sons Inc., 1993. 85-88.
- Nicholson, W. Keith and Watters, J. F.. Classes of simple modules and triangular rings 20.1 John Wiley & Sons Inc., 1992. 141-153.
- Fuller, K. R., Nicholson, W. Keith and Watters, J. F.. Universally reflexive algebras 157. John Wiley & Sons Inc., 1991. 195-201.
- Nicholson, W. Keith. On Faith's correspondence theorem 21.1 John Wiley & Sons Inc., 1990. 31-34.
- Fraser, J. A. and Nicholson, W. Keith. Reduced PP-rings 34.5 1989. 715-725.
- Fuller, K. R., Nicholson, W. Keith and Watters, J. F.. Reflexive bimodules 41.4 1989. 592-611.
- Nicholson, W. Keith and Watters, J. F.. Rings with projective socle 102.3 1988. 443-450.
- Nicholson, W. Keith and Watters, J. F.. Normal radicals and normal classes of modules 30.1 1988. 97-100.
- Nicholson, W. Keith and Watters, J. F.. Morita context functors 103.3 John Wiley & Sons Inc., 1988. 399-408.
- Nicholson, W. Keith and Watters, J. F.. Exact modules 51.5 1988. 412-418.
- Nicholson, W. Keith. The dual of a theorem of Goldman 19.3 1988. 235-239.
- Nicholson, W. Keith and Sarath, B. . Rings with a largest linear topology 13.4 1985. 769-780.
- Nicholson, W. Keith and Watters, J. F.. Central closures and Morita contexts 12.1-2 1984. 103-123.
- Nicholson, W. Keith and Watters, J. F.. On tensor products and extended centroids 88.2 1983. 215-217.
- Nicholson, W. Keith and Watters, J. F.. Normal classes of prime rings determined by modules 83.1 1981. 27-30.
- Nicholson, W. Keith and Watters, J. F.. Normal classes of rings and tensor products 9.3 1981. 299-311.
- Desale, G. and Nicholson, W. Keith. Endoprimitive rings 70.2 1981. 548-560.
- Nicholson, W. Keith and Yaqub, Adil . A commutativity theorem 10.2 1980. 260-263.
- Nicholson, W. Keith, Watters, J. F. and Zelmanowitz, J. M.. On extensions of weakly primitive rings 32.4 1980. 937-944.
- Nicholson, W. Keith and Watters, J. F.. The strongly prime radical 76.2 1979. 235-240.
- Nicholson, W. Keith and Yaqub, Adil . A commutativity theorem for rings and groups 22.4 1979. 419-423.
- Nicholson, W. Keith and Watters, J. F.. Normal radicals and normal classes of rings 59.1 1979. 5-15.
- Nicholson, W. Keith. Lifting idempotents and exchange rings 229. 1977. 269-278.
- Nicholson, W. Keith and Springer, H. J.. Commutativity of rings with abelian or solvable units 56. 1976. 59-62.
- Nicholson, W. Keith and Springer, H. J.. Local rings with elementary Abelian units 19.2 1976. 205-208.
- Nicholson, W. Keith. Semiregular modules and rings 28.5 1976. 1105-1120.
- Nicholson, W. Keith. I-rings 207. 1975. 361-373.
- Nicholson, W. Keith. On semiperfect modules 18.1 1975. 77-80.
- Nicholson, W. Keith. Semiperfect rings with abelian adjoint group 54. 1974. 201-207.
- Nicholson, W. Keith. Rings whose elements are quasi-regular or regular 9. 1973. 64-70.
- Nicholson, W. Keith. Semiperfect rings with abelian group of units 49. 1973. 191-198.
- Nicholson, W. Keith. Local group rings 15. 1972. 137-138.
Preprint
- Nicholson, W. Keith. Lifting Idempotents and Exchange Rings Research Paper.298 1975. 1 - 18.
Degrees
- 1961 - B.Sc. - University of Alberta
- 1963 - M.Sc. - University of Alberta
- 1966 - MS - Stanford University
- 1970 - Ph.D. - University of California at Santa Barbara
Students
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