University of Southern Indiana

Publications

Publications:

  • "No Three Element Set is Ruinous", Semigroup Forum, Volume 72, Number 1, (2006), pages 143-148
  • "Ruinous Subsets of Richard Thompson’s Group F", Journal of Pure and Applied Algebra, Volume 208, Number 2, (2007), pages 733-737
  • "An Amenable Ascending Union of Nonamenable Semigroups", International Journal of Algebra and Computation, Volume 17, Number 1, (2007), pages 179-185
  • "External Paradoxical Decompositions", Semigroup Forum, Volume 75, Number 1, (2007), pages 160-172
  • "The Ruinous-Thin Relationship for Three Element Sets", International Journal of Algebra and Computation, Volume 18, Number 3, (2008), pages 407-419
  • "Properties of Richard Thompson’s Group F Related to Følner Sets", Geometriae Dedicata, Volume 136, Number 1, (2008), pages 1-15
  • "Common Right Multiples in KP of Linear Combinations of Generators of the Positive Monoid P of Thompson’s Group F", International Mathematical Forum, Volume 5, Number 32, (2010), pages 1581 - 1590
  • "A Partial Converse to a Theorem of Tamari", Semigroup Forum, Volume 81, Number 2, (2010), pages 389-392
  • "The Equivalence of Side-Angle-Side and Side-Angle-Angle in the Absolute Plane", Journal of Geometry, Volume 97, Number 1, (2010), pages 69-82
  • "S0,3 is Non-Ruinous", Rocky Mountain Journal of Mathematics, Volume 41, Number 5, (2011), pages 1449 - 1455
  • "A Cancellative Amenable Ascending Union of Nonamenable Semigroups", Czechoslovak Mathematical Journal, Volume 61, Number 3, (2011), pages 687 - 690
  • "Subsemigroups of Cancellative Amenable Semigroups", International Journal of Contemporary Mathematical Sciences, Volume 7, Number 23, (2012), pages 1131 - 1137
  • "Necessary and Sufficient Conditions for a Subsemigroup of a Cancellative Left Amenable Semigroup to be Left Amenable", International Journal of Algebra, Volume 7, Number 5, (2013), pages 237 - 243
  • "The Equivalence of Side-Angle-Side with Side-Side-Side and the General Triangle Inequality in the Absolute Plane", Journal of Geometry, Volume 104, Number 2,(2013), pages 265-275
  • "A Minimal Candidate for the Existence of a Weakly Ruinous Set", Communications in Algebra, Volume 42, Number 4, (2014), pages 1414-1430
  • "The Equivalence of Side-Angle-Side and Side-Side-Side in the Absolute Plane", Journal of Geometry, Volume 106, Number 3, (2015), pages 541-550
  • (with Ryan Hicks and Kurt Virgin) "Generators and Normal Forms of Richard Thompson’s Group F and the Four-Color Theorem", Journal of Algebraic Combinatorics, Volume 43, Number 3, (2016), pages 485–493

  • © 2017 University of Southern Indiana
  • 8600 University Blvd.
  • Evansville, IN 47712
  • 812/464-8600
Contact
×
Send Email to
×