{"id":37,"date":"2019-02-19T17:41:06","date_gmt":"2019-02-19T22:41:06","guid":{"rendered":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/?page_id=37"},"modified":"2019-02-19T17:46:39","modified_gmt":"2019-02-19T22:46:39","slug":"short-list-of-publications","status":"publish","type":"page","link":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/short-list-of-publications\/","title":{"rendered":"Short List of Publications"},"content":{"rendered":"<p>[1]\u00a0<em>The residual bounds of finite algebras,\u00a0<\/em>International Journal of Algebra and Computation\u00a0<strong>6<\/strong> (1996), 1-28.<\/p>\n<p>[2]\u00a0<em>The residual bound of a finite algebra is not computable,\u00a0<\/em>International Journal of Algebra and Computation\u00a0<strong>6<\/strong> (1996), 29-48.<\/p>\n<p>[3]\u00a0<em>Tarski&#8217;s finite basis problem is undecidable,\u00a0<\/em>International Journal of Algebra and Computation\u00a0<strong>6<\/strong> (1996), 49-104.<\/p>\n<p>[4]\u00a0<em>Arithmetic of finite ordered sets: cancellation of exponents, I,<\/em> Order\u00a0<strong>16\u00a0<\/strong>(1999), 313-333<\/p>\n<p>[5]\u00a0<em>Arithmetic of finite ordered sets: cancellation of exponents, II,\u00a0<\/em>Order\u00a0<strong>17<\/strong> (2000), 309-332.<\/p>\n<p>[6] (with P. Markovic)\u00a0<em>Few subpowers, congruence distributivity, and near-unanimity terms,<\/em>\u00a0Algebra Universalis\u00a0<strong>58\u00a0<\/strong>(2008), 119-128.<\/p>\n<p><em>\u00a0<\/em>[7] (with E. Aichinger, P. Mayr)\u00a0<em>On the number of algebraic structures,\u00a0<\/em>Journal of the European Mathematical Society (2014)\u00a0<strong>6<\/strong>, 1673-1686. [<a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/3069\/2019\/02\/7.pdf\">PDF<\/a>]<\/p>\n<p>[8] (with P. Markovic, M. Maroti)\u00a0<em>Finitely related clones and algebras with cube-terms,\u00a0<\/em>Order,\u00a0<strong>29(2)\u00a0<\/strong>(2012), 345-359. [<a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/3069\/2019\/02\/8.pdf\">PDF<\/a>]<\/p>\n<p>[9] (with K. Kearnes and P. Markovic)\u00a0<em>Optimal strong Mal&#8217;cev conditions for omitting type\u00a0<\/em><strong>1\u00a0<\/strong><em>in locally finite varieties,\u00a0<\/em>Algebra Universalis\u00a0<strong>72\u00a0<\/strong>(2014), 91-100. [<a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/3069\/2019\/02\/9.pdf\">PDF<\/a>]<\/p>\n<p>[10] (with A. Kazda and M. Moore)\u00a0<em>Absorption and directed Jonsson terms,\u00a0<\/em>In: Czelakowski, J. (eds) Don Pigozzi on abstract algebraic logic, universal algebra and Computer Science. Outstanding Contributions to Logic, vol. 16, Springer 2018, pp. 203-220. [<a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/3069\/2019\/02\/10.pdf\">PDF<\/a>]<\/p>\n<p>[11] (with J. Jovanovic, P. Markovic, and M. Moore)\u00a0<em>Optimal strong Mal&#8217;cev conditions for congruence meet semidistributivity in locally finite varieties,\u00a0<\/em>Algebra Universalis\u00a0<strong>76\u00a0<\/strong>(2016), no. 3, 305-321.<\/p>\n<p>[12] (with R. Freese)\u00a0<em>Mal&#8217;cev families of varieties closed under join or Mal&#8217;cev product,\u00a0<\/em>Algebra Universalis\u00a0<strong>77\u00a0<\/strong>(2017), no. 1, 29-50. [<a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/3069\/2019\/02\/12.pdf\">PDF<\/a>]<\/p>\n<p>[13]\u00a0<em>New directions on finite decidability\u00a0<\/em>(manuscript) [<a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/3069\/2019\/02\/13.pdf\">PDF<\/a>]<\/p>\n<p>[14] (with R. Freese, G. McNulty, and W. Taylor) Algebras, Lattices, Varieties II, (in progress).<\/p>\n<p>[15] (with M. Moore)\u00a0<em>Colorings of free algebras, splittings in the lattices of interpretability.\u00a0<\/em>(in progress).<\/p>\n<p>[16] (with P. Markovic)\u00a0<em>On the constraint satisfaction problem for semilattices of Mal&#8217;cev blocks\u00a0<\/em>(in progress).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[1]\u00a0The residual bounds of finite algebras,\u00a0International Journal of Algebra and Computation\u00a06 (1996), 1-28. [2]\u00a0The residual bound of a finite algebra is not computable,\u00a0International Journal of Algebra and Computation\u00a06 (1996), 29-48. [3]\u00a0Tarski&#8217;s finite basis problem is undecidable,\u00a0International Journal of Algebra and Computation\u00a06 (1996), 49-104. [4]\u00a0Arithmetic of finite ordered sets: cancellation of exponents, I, Order\u00a016\u00a0(1999), 313-333 [5]\u00a0Arithmetic&#8230;<\/p>\n","protected":false},"author":7906,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-37","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/pages\/37","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/users\/7906"}],"replies":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/comments?post=37"}],"version-history":[{"count":3,"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/pages\/37\/revisions"}],"predecessor-version":[{"id":46,"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/pages\/37\/revisions\/46"}],"wp:attachment":[{"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/media?parent=37"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/ralphmckenzie\/wp-json\/wp\/v2\/tags?post=37"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}