<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <!-- saved from url=(0089)http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/seminararchiv_ta10_11.html --> <HTML><HEAD><TITLE>Lviv seminar on Topological Algebra archivta_2010-2011</TITLE> <META content="text/html; charset=unicode" http-equiv=Content-Type> <META content="text/html; charset=iso-8859-1" http-equiv=??????????-???><!-- *************** DHTML Outline (begin) <META name="keywords" CONTENT="Oleg Gutik Igor Guran Olexander Ravsky"> ***************** --> <STYLE type=text/css>LI.oItem { COLOR: #000000; CURSOR: text } LI.oParent { COLOR: #000088; CURSOR: hand } UL UL { DISPLAY: none } </STYLE> <SCRIPT language=Javascript> <!-- // Returns the closest parent tag with tagName containing // the src tag. 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Guran</A>,<BR><A href="http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/Gutik_mine.html">O. Gutik</A> </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>Divertisement <UL type=square> <LI class=oItem><FONT size=+1>The active participants of the seminar were discuss new results and posed some open problems. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD> <TR> <TD height=12 colSpan=3></TD></TR> <TR> <TD vAlign=top width="25%"><FONT size=+2>September 16, 2010, <BR>September 23, 2010, <BR>October 7, 2010, <BR>October 14, 2010, <BR>October 21, 2010, <BR>October 28, 2010, <BR>November 4, 2010, 2010, <BR>November 25, 2010 </FONT> <TD vAlign=top width="15%"><B><FONT size=+2>O. Ravsky </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>(2-)pseudocompact paratopological groups that are topological, I <UL type=square><LI class=oItem><FONT size=+1> We obtain sufficient conditions when <BR>(2-)pseudocompact paratopological group is topological;<BR>(2-)pseudocompact paratopological groups that are not topological are constructed.<BR>Our particular attention is devoted to periodic and topologically periodic groups. In addition, we prove that the product of a nonempty family of pseudocompact paratopological groups is pseudocompact. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD> <TR> <TD height=12 colSpan=3></TD></TR> <TR> <TD vAlign=top width="25%"><FONT size=+2>December 2, 2010, <BR>December 9, 2010 </FONT> <TD vAlign=top width="15%"><B><FONT size=+2><A href="http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/guran.html">I. Guran</A> </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>When a locally compact monothetic topological cancellative semigroup is a compact topological group? <UL type=square> <LI class=oItem><FONT size=+1>In the report will be discus the question posed in the title. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD> <TR> <TD height=12 colSpan=3></TD></TR> <TR> <TD vAlign=top width="25%"><FONT size=+2>February 21, 2011 </FONT> <TD vAlign=top width="15%"><B><FONT size=+2><A href="http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/guran.html">I. Guran</A> </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>On topologizations of the group <B>S(X)</B> <UL type=square> <LI class=oItem><FONT size=+1>In the report will be discus the problem posed in the title. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD> <TR> <TD height=12 colSpan=3></TD></TR> <TR> <TD vAlign=top width="25%"><FONT size=+2>February 28, 2011, <BR>March 21, 2011 </FONT> <TD vAlign=top width="15%"><B><FONT size=+2><A href="http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/Gutik_mine.html">O. Gutik</A> </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>On bicyclic extensions of linearly ordered groups <UL type=square> <LI class=oItem><FONT size=+1>The report is devoted to inverse semigroups which are generating by partial translations of a positive cone of a linearly ordered group. We describe their Green's relations, structure of their bands and congruences. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD> <TR> <TD height=12 colSpan=3></TD></TR> <TR> <TD vAlign=top width="25%"><FONT size=+2>March 14, 2011 <BR>March 29, 2011 <BR>April 4, 2011 <BR>May 16, 2011 <BR>May 23, 2011 </FONT> <TD vAlign=top width="15%"><B><FONT size=+2>O. Ravsky </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>(2-)pseudocompact paratopological groups that are topological, I <UL type=square> <LI class=oItem><FONT size=+1>We obtain sufficient conditions when <BR>(2-)pseudocompact paratopological group is topological;<BR>(2-)pseudocompact paratopological groups that are not topological are constructed.<BR>Our particular attention is devoted to periodic and topologically periodic groups. In addition, we prove that the product of a nonempty family of pseudocompact paratopological groups is pseudocompact. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD> <TR> <TD height=12 colSpan=3></TD></TR> <TR> <TD vAlign=top width="25%"><FONT size=+2>May 30, 2011 </FONT> <TD vAlign=top width="15%"><B><FONT size=+2> Kateryna PAVLYK (University of Tartu, Estonia) </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>On pseudocompact topological Brandt semigroups <UL type=square> <LI class=oItem><FONT size=+1>We describe the structure of pseudocompact completely 0-simple topological inverse semigroups. As a consequence of this result the analogue of Comfort-Ross theorem for topological semigroups is obtained. We present also the sufficient conditions on topological Brandt extensions for preserving the (absolute) H-closedness and some criteria for the (absolute) H-closedness of topological Brandt semigroups. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD> <TR> <TD height=12 colSpan=3></TD></TR> <TR> <TD vAlign=top width="25%"><FONT size=+2>August 1, 2011, <BR>August 4, 2011, <BR>August 8, 2011, <BR>August 15, 2011</FONT> <TD vAlign=top width="15%"><B><FONT size=+2> ==0 / (C30=A:89 =0F8>=0;L=K9 C=825@A8B5B) </FONT></B> <TD vAlign=center> <DIV onclick="JavaScript: outlineAction();"> <UL type=square> <LI class=oParent value=30><FONT size=+2>>;C3@C??K M=4><>@D87<>2 =5:>B>@KE 15A:>=5G=KE <>=>C=0@=KE 0;351@ <UL type=square> <LI class=oItem><FONT size=+1> C45B 4>:070=>, GB> 15A:>=5G=K5 <>=>C=0@=K5 0;351@K A =5 AN@L5:B82=>9 C=0@=>9 >?5@0F859, :>B>@K5 =5 A>45@60B F8:;8G5A:8E 8 <5B0<>=>35==KE ?>40;351@, >?@545;ONBAO A2>59 ?>;C3@C??>9 M=4><>@D87<>2 A B>G=>ABLN 4> 87><>@D87<0.  B0:65 4>:070=>, GB> 2 ?>;C3@C??5 M=4><>@D87<>2 <>=>C=0@=>9 0;351@K MB>3> :;0AA0 ACI5AB2C5B ?;>B=> 2;>65==K9 8450;, <>I=>ABL :>B>@>3> A>2?0405B A ?>@O4:>< <>=>C=0@=>9 0;351@K 8 :>B>@K9 B0:65 >?@545;O5B <>=>C=0@=CN 0;351@C A B>G=>ABLN 4> 87><>@D87<0. </LI></UL></FONT></LI></UL></FONT></DIV></TD> <TR> <TD bgColor=#000080 height=3 colSpan=3 align=left BORDER="1"></TD></TR></TBODY></TABLE><BR> <a href="https://plus.google.com/u/0/+OlegGutik"><img src="Rgplus-Gutik.jpg"></a> <a href="https://plus.google.com/u/0/+OlGutikPallady"><img src="Rgplus-Gutik.jpg"></a> <a href="https://plus.google.com/u/0/+TopologicalAlgebraSeminar"><img src="Rgplus-Gutik.jpg"></a> <br> <!-- Start of StatCounter Code for Default Guide --> <script type="text/javascript"> var sc_project=9174828; var sc_invisible=0; var sc_security="d274098c"; var scJsHost = (("https:" == document.location.protocol) ? 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