PUBLICATIONS LIST FOR             PROFESSOR SHELLY WISMATH



BOOKS PUBLISHED:

• K. Dencke and S. L. Wismath, Hyperidentities and Clones, Gordon and Breach Scientific Publishers, 2000.
  
  
• K. Denecke and S. L. Wismath, Universal Algebra and Applications in Theoretical Computer Science, Chapman and Hall/ CRC Press, 2002.
  
  
• K. Denecke, M. Erne and S. L. Wismath, editors, Galois Connections and Applications, Kluwer Academic Publishers, Feb. 2004.
  
  

JOURNAL ARTICLES PUBLISHED:

• 1. S.L. Wismath, ``The Lattices of Varieties and Pseudovarieties of Band Monoids'', Semigroup Forum , 33, 1986, 187-198. (MR 87f:20086)
• 2. S.L.Wismath, ``Hyperidentities for Some Varieties of Semigroups'', Algebra Universalis , 27, 1990, 111-127. (MR 90i:20062)
• 3. S.L. Wismath, ``Hyperidentities for Some Varieties of Commutative Semigroups'', Algebra Universalis , 28, 1991, 245-273. (MR 92d:20087)
• 4. S.L. Wismath, ``Joins of Some Varieties of Semigroups'', Studia Scientiarum Mathematicarum Hungarica , 27, 1992, 331-338. (MR 94f:20115)
• 5. S.L. Wismath, ``Hyperidentity Bases for Rectangular Bands and Other Semigroup Varieties'', Journal of the Australian Math Society , (Series A), 55, 1993, 270-286. (MR 94j:20069)
• 6. S.L. Wismath, ``The Lattice of Varieties of *-Regular Band Monoids'', Semigroup Forum , 46, 1993, 130-133. (MR 93k:20088)
• 7. K. Denecke and S.L. Wismath, ``Solid Varieties of Semigroups," Semigroup Forum , 48, 1994, 219-234. (MR 94m:20117)
• 8. S.L. Wismath, ``On Finite Hyperidentity Bases for Varieties of Semigroups", Algebra Universalis , 33, 1995, 15-25.
• 9. S.L. Wismath, ``A Basis for the Type Hyperidentities of the Medial Variety of Semigroups'', Aequationes Mathematicae , 49, 1995, 205-213.
• 10. S.L. Wismath, ``Clone and Hypervariety Correspondences'', Algebra Universalis, 33, 1995, 458-465.
• 11. S.L. Wismath, ``Iterative Hyperidentities for the A(n,m) Varieties of Semigroups'', Algebra Universalis, 36, 1996, 1-7. (MR 97e:20080)
• 12. K. Denecke, J. Koppitz and S.L. Wismath, ``Maps between M-Solid Varieties of Semigroups", Discussiones Mathematicae, 17, 1997, 91-104.
• 13. S.L. Wismath, ``Unary Hyperidentities for Type <1> Algebras", Discussiones Mathematicae, 17, 1997, 105-111.
• 14. D. Cowan and S.L. Wismath, ``Unary Iterative Hyperidentities for Semigroups and Inverse Semigroups", Semigroup Forum, 55, 1997, 221-231.(MR 98d:20063)
• 15. D. Cowan and S.L. Wismath, ``Unary Hyperidentities for Varieties of Inverse semigroups", Semigroup Forum, 58, 1999, 106-125.
• 16. D. Schweigert and S.L. Wismath, ``Derived Varieties of Semigroups and Groupoids", Algebra Universalis, 38, 1997, 36-55.
• 17. K. Denecke and S.L. Wismath, ``The Monoids of Hypersubstitutions of Type (2)", Contributions to General Algebra, Vol. 10, (Proceedings of the Klagenfurt Conference) Verlag Johannes Heyn, Klagenfurt 1998, 109-126.
• 18. S.L. Wismath, ``V-Proper and Normal Form Hypersubstitutions", Discussiones Mathematicae, 18, 1998, 121-129.
• 19. S.L. Wismath, ``Fundamental-M-Solid and Fundamental-M-Closed Varieties", Southeast Asian Bulletin of Mathematics, 25, 2001, 161-174.
• 20. K. Denecke, J. Hyndman, and S.L. Wismath, ``The Galois Correspondence between Subvariety Lattices and Monoids of Hypersubstitutions", Discuss. Math. (Gen. Algebra Appl). 20 (2000), no. 1, 21--36.
• 21. S.L. Wismath, ``Finite Monoids of Hypersubstitutions of Type (n)", General Algebra and Discrete Mathematics, Proc. Potsdam Workshop on General Algebra and Discrete Math, (Potsdam 98), Shaker Verlag, 1999, pages 205 - 216.
• 22. S.L. Wismath, ``The Monoid of Hypersubstitutions of Type (n)", SouthEast Asian Bull. Math., 24, 2000, 115-128.
• 23. P. Penner, S.L. Wismath, R. Padmanabhan, ``M-Solid Varieties Generated by Lattices", Algebra Universalis 44 No 1.2, 2000, 153 - 164.
• 24. J. Koppitz, S.L. Wismath, ``Hyperidentities for Varieties of Star-Bands", Scientiae Mathematicae (Japan) 3, 2000, no. 3, 299 - 307.
• 25. S.L. Wismath, ``Hypersubstitutions for the Variety of Star-Bands", Scientiae Mathematicae Japonicae, 4, 2001, 785 - 795.
• 26. K. Denecke and S. L. Wismath, ``M-Solidity Testing Systems", Algebra Colloquium 9 no. 3, 2002, 321 - 336.
• 27. K. Denecke, J. Koppitz and S. L. Wismath, ``The Semantical Hyperunification Problem", Discussiones Mathematicae, General Algebra and Applications, 21, 2001, 175 - 200.
• 28. V. Budd, K. Denecke and S. L. Wismath, ``Short-Solid Superassociative Varieties of Type (n)", East-West Journal of Mathematics, Vol. 3 n. 2, 2001, 129 - 145.
• 29. Denecke, J. Koppitz and S. L. Wismath, ``Solid Varieties of Arbitrary Type", Algebra Universalis 48, 2002, p. 357 - 378.
• 30. K. Denecke and S. L. Wismath, ``Galois Connections and Complete Sublattices", in "Galois Connections and Applications", Kluwer Academic Publishers, 2004.
• 31. K. Denecke and S. L. Wismath, ``Complexity of Terms and the Galois Connection Id-Mod", in "Galois Connections and Applications", Kluwer Academic Publishers, 2004.
• 32. K. Denecke and S. L. Wismath, ``Complexity of Terms, Composition and Hypersubstitutions", Int. J. Mathematics and Mathematical Sciences, 2003:15, 2003, 959 - 969.
• 33. K. Denecke and S. L. Wismath, ``Valuations of Terms", Algebra Universalis 50, 2003, 107-128.
• 34. K. Denecke and S. L. Wismath, ``Valuations and Hypersubstitutions", Bull. South East Asian Math. Society, Vol. 26, 5 (2003), 751 - 763.
• 35. P. Jampachon, K. Denecke and S. L. Wismath, ``Clones of n-ary Algebras", Journal of Applied Algebra and Discrete Structures, 1 no. 2 (2003), 141 - 158.
• 36. K. Denecke and S. L. Wismath, ``A Characterization of k-Normal Varieties", Algebra Universalis 51 (2004), no. 4, 395--409.
• 37. Q. Wang and S. L. Wismath, ``Generalized Inflations and Null Extensions", Discussiones Mathematicae, General Algebra and Applications, 24 (2004), 225 - 249.
• 38. K. Denecke, P. Jampachon and S. L. Wismath, ``Solid Varieties, Transition Semigroups and Unary Clones", Scientiae Mathematicae Japonica (SCMJ) 61, no. 3, 2005, 397 - 411.
• 39. K. Denecke and S. L. Wismath, ``The Pre-clone of a Variety", Demonstratio Mathematica, Vol. XXXVIII no. 4 (2005), 799 - 810.
• 40. Z. Friggstad and S. L. Wismath, ``Minimal Characteristic Algebras for k-Normality for Unary Types", Journal of Applied Algebra and Discrete Structures, Vol. 3, no. 2, 2005, 65 - 89.
• 41. A. Christie, Q. Wang and S. L. Wismath, ``Minimal Characteristic Algebras for k-Normality", Scientiae Mathematicae Japonicae (SCMJ), vol. 61, no. 3, 2005, 547 - 565.
• 42. T. Changphas and S. L. Wismath, ``Green's Relations on the Monoid of Regular Hypersubstitutions", Algebra Colloquium 13 no. 4 (2006), 623 - 632.
• 43. K. Denecke and S. L. Wismath, ``The Normal Clone of a Variety", Contributions to General Algebra 16, Verlag Johannes Heyn, 2005, 63 - 74.
• 44. S. L. Wismath, ``Hyperidentities and Solid Varieties", Algebra Universalis, Special issue dedicated to Walter Taylor, 55, (2006), no. 2-3, 305 - 318.
• 45. T. Changphas and S. L. Wismath, ``The Clone of Permutation-Full Terms", to appear in Thai Journal of Mathematics, accepted Dec. 05.
• 46. A. Christie, Q. Wang and S. L. Wismath, ``The Inflation Class Operator" Algebra Universalis, Vol 56 n. 1 (2007), 107 - 118.
• 47. Q. Wang and S. L. Wismath, ``Generalized Inflations of Completely Simple Semigroups", Algebra Colloquium 14, no. 1 (2007), 103 - 116.
• 48. I. Chajda and S. L. Wismath, ``Externalizations of Lattices", Demonstratio Mathematica,39 (2006), no. 4, 731 - 736.
• 49. I. Chajda, K. Denecke and S. L. Wismath, ``A Characterization of P-Compatible Varieties", Algebra Colloquium, Vol 14 no. 2 (2007), 191 - 206.
• 50. Q. Wang and S. L. Wismath, ``Generalized Inflations of Brandt Semigroups", Semigroup Forum 74 (2007), no. 2, 274 - 292.
• 51. I. Chajda, V. Cheng and S. L. Wismath, ``2-Normalizations of Lattices", Czechoslovak Math. Journal, 58 (133), (2008), 577 - 593.
• 52. I. Chajda and S. L. Wismath, ``Constructions on P-Choice Algebras", Journal of Multi-Valued Logic and Soft Computing 13 (2007) no. 1-2, 115 - 125.
• 53. V. Cheng and S. L. Wismath, ``Bases for the K-Normalizations of Varieties of Bands", Demonstratio Mathematicae, Vol XL No. 4 (2007), 775 - 787.
• 54. C. Masse, H. Wang and S. L. Wismath, ``A Basis for the k-normalization of Semigroups", AEJM, Vo. 2, no. 1, 2007, 14 - 29.
• 55. C. Masse, H. Wang and S. L. Wismath, "Minimal Characteristic Algebras for Leftmost K-Normal Identities", Algebra Colloquium, Vol. 17, no. 1 (2010), 27-42.
• 56. V. Cheng and S. L. Wismath, ``k-Normalizations and (k+1)-level inflations", Discussiones Mathematicae, 28 (2008), 49 - 62.
• 57. K. Denecke and S. L. Wismath, ``Green's-Like Relations for Varieties", Int. J. Mathematics and Mathematical Sciences, Art. ID 362068, 2008, 12 pp.
• 58. P. Penner and S. L. Wismath, ``Equational Bases for k-Normal Identities", Demonstratio Mathematica, Vol. XLI, no. 4 (2008), 733 - 742.
• 59. K. Hambrook and S. L. Wismath, ``Minimal Characteristic Algebras for Rectangular k-Normal Identities", Algebra Colloquium, Vol. 18, n. 4, 2011.
• 60. K. Denecke and S. L. Wismath, ``The Dimension of a Variety and the Kernel of a Hypersubstitution", Int. J. Algebra and Computation, Vol. 19. n0 6 (2009), 841-854.
• 61. P. Penner and S.L. Wismath, ``Equational Bases for P-Compatible Identities", Demonstratio Math. Vol XLIII No. 3, 2010, 511 - 518.
• 62. K. Denecke, N. Sarasit and S. L. Wismath, ``Idempotent Tree Languages", Demonstratio Mathematicae Vol. XLVI, no. 1, 2013.
• 63. M. Thom and S.L. Wismath, ``Generating Sets and Decompositions for Idempotent Tree Languages", to appear in Atlantic Electronic Journal of Mathematics, accepted Nov. 2012.
• 64. B. Mackay and S.L. Wismath, ``Quantitative Courses in a Liberal Education Program: A Case Study". Journal of General Education, Vol. 61, no. 4, 2012, pp. 314 - 322.
• 65. S.L. Wismath, ``Shifting the Teacher-Learner Paradigm: Teaching for the 21st Century", College Teaching, Vol 61 no. 3, 2013, 88 - 89..
• 66. S. Wismath, D. Orr and B. Good, "Metacognition: Student Reflections on Problem Solving", Journal on Excellence in College Teaching, 2014 Vol 25 no. 2, p. 69 - 90.
• 67. Shelly Wismath and Maggie Zhong,``Gender Differences in University Students' Perceptions of and Confidence in Problem-Solving Abilities". Journal of Women and Minorities in Science and Engineering, Vol. 20 Issue 1, 2014, pp. 1 - 10.
• 68. Shelly Wismath, Bruce Mackay and Doug Orr, ``Threshold Concepts in Problem Solving". Teaching and Learning Inquiry: The ISSOTL Journal Vol. 3, No. 1 (2015), pp. 63-73.
• 69. Shelly Wismath, Doug Orr and Maggie Zhong. ``Student Perception of Problem Solving Skills". Transformative Dialogues: Teaching and Learning Journal, Volume 7 Issue 3, November 2014.
• 70. Shelly Wismath and Alyson Worrall, ``Improving University Students' Perception of Mathematics and Mathematics Ability." Numeracy, Volume 8, Issue 1, 2015.
• 71. Shelly Wismath and Doug Orr, ``Collaborative Learning in Problem Solving: A Case Study in Metacognitive Learning", The Canadian Journal for the Scholarship of Teaching and Learning Volume 6, Issue 3 Article 10, Dec. 2016.
• 72. Shelly Wismath and Jan Newberry. ``Mapping Asseets: High Impact Practices and the First-Year Experience." To appear in Teaching and Learning Inquiry 2018.
• 73. Shelly Wismath, Heather Mirau and Jan Newberry. ``The Evolution of Liberal Education at the University of Lethbridge." Submitted to Conference proceedings, 2018.