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  25. <meta content="Keywords: directed abelian group, variety.
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  28. B.J.Gardner, Discipline of Mathematics, University of
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  31. M.M.Parmenter, Department of Mathematics and Statistics, Memorial University
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  33. <meta content="We continue the study of directoid groups, directed abelian
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  43. <meta content="[1] A.Bigard, K. Keimel and S.Wolfenstein, Groupes et anneaux réticulés,
  44. Berlin etc., Springer, 1977. Zbl 0619.90014
  45.  
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  54. Univ. 33(1995), 254-273. Zbl 0832.06005
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  69. sets, Algebra Univ. 27(1990), 49-69. Zbl 0699.08002
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  75. 0123. 00101
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  84. J. 31(1983), 13-20. Zbl.0532.06002
  85.  
  86. [15] V. Sná²el, -lattices, Math. Bohemica 122(1997), 267-272. Zbl
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  211.     <h1 class="ep_tm_pagetitle">Directoid groups</h1>
  212.     <p style="margin-bottom: 1em" class="not_ep_block"><span class="person_name">Gardner, B.J.</span> and <span class="person_name">Parmenter, M.M.</span> (2007) <xhtml:em>Directoid groups.</xhtml:em> Czechoslovak Mathematical Journal . ISSN 1572-9141 (In Press)</p><p style="margin-bottom: 1em" class="not_ep_block"></p><table style="margin-bottom: 1em" class="not_ep_block"><tr><td valign="top" style="text-align:center"><a href="http://eprints.utas.edu.au/1679/1/dg.pdf"><img alt="[img]" src="http://eprints.utas.edu.au/style/images/fileicons/application_pdf.png" border="0" class="ep_doc_icon" /></a></td><td valign="top"><a href="http://eprints.utas.edu.au/1679/1/dg.pdf"><span class="ep_document_citation">PDF</span></a> - Full text restricted - Requires a PDF viewer<br />171Kb</td><td><form method="get" accept-charset="utf-8" action="http://eprints.utas.edu.au/cgi/request_doc"><input value="2168" name="docid" accept-charset="utf-8" type="hidden" /><div class=""><input value="Request a copy" name="_action_null" class="ep_form_action_button" onclick="return EPJS_button_pushed( '_action_null' )" type="submit" /> </div></form></td></tr></table><p style="margin-bottom: 1em" class="not_ep_block">Official URL: <a href="http://www.springerlink.com">http://www.springerlink.com</a></p><div class="not_ep_block"><h2>Abstract</h2><p style="padding-bottom: 16px; text-align: left; margin: 1em auto 0em auto">We continue the study of directoid groups, directed abelian&#13;
  213. groups equipped with an extra binary operation which assigns an upper bound to each ordered pair subject to some natural restrictions. The class of all such structures can to some extent be viewed as an equationally defined&#13;
  214. substitute for the class of (2-torsion-free) directed abelian groups. We explore the relationship between the two associated categories, and some aspects of ideals of directoid groups</p></div><table style="margin-bottom: 1em" border="0" cellpadding="3" class="not_ep_block"><tr><th valign="top" class="ep_row">Item Type:</th><td valign="top" class="ep_row">Article</td></tr><tr><th valign="top" class="ep_row">Additional Information:</th><td valign="top" class="ep_row">Authors' addresses: &#13;
  215. B.J.Gardner, Discipline of Mathematics, University of&#13;
  216. Tasmania, Private Bag 37, Hobart, Tas. 7001 Australia. gardner@hilbert.maths.utas.edu.au;&#13;
  217. &#13;
  218. M.M.Parmenter, Department of Mathematics and Statistics, Memorial University&#13;
  219. of Newfoundland, St John's, NL A1C 5S7 Canada. mparmen@morgan.ucs.mun.ca</td></tr><tr><th valign="top" class="ep_row">Keywords:</th><td valign="top" class="ep_row">Keywords: directed abelian group, variety.&#13;
  220. MSC 2000: 06F20, 08B99</td></tr><tr><th valign="top" class="ep_row">Subjects:</th><td valign="top" class="ep_row"><a href="http://eprints.utas.edu.au/view/subjects/230105.html">230000 Mathematical Sciences &gt; 230100 Mathematics &gt; 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups)</a></td></tr><tr><th valign="top" class="ep_row">Collections:</th><td valign="top" class="ep_row">UNSPECIFIED</td></tr><tr><th valign="top" class="ep_row">ID Code:</th><td valign="top" class="ep_row">1679</td></tr><tr><th valign="top" class="ep_row">Deposited By:</th><td valign="top" class="ep_row"><span class="ep_name_citation"><span class="person_name">Heather Mitchell</span></span></td></tr><tr><th valign="top" class="ep_row">Deposited On:</th><td valign="top" class="ep_row">27 Aug 2007</td></tr><tr><th valign="top" class="ep_row">Last Modified:</th><td valign="top" class="ep_row">07 Feb 2008 11:59</td></tr><tr><th valign="top" class="ep_row">ePrint Statistics:</th><td valign="top" class="ep_row"><a target="ePrintStats" href="/es/index.php?action=show_detail_eprint;id=1679;">View statistics for this ePrint</a></td></tr></table><p align="right">Repository Staff Only: <a href="http://eprints.utas.edu.au/cgi/users/home?screen=EPrint::View&amp;eprintid=1679">item control page</a></p>
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