<?xml version="1.0" encoding="UTF-8"?>
<collection xmlns="http://www.loc.gov/MARC21/slim">
 <record>
  <leader>     caa a22        4500</leader>
  <controlfield tag="001">477073778</controlfield>
  <controlfield tag="003">CHVBK</controlfield>
  <controlfield tag="005">20180405111433.0</controlfield>
  <controlfield tag="007">cr unu---uuuuu</controlfield>
  <controlfield tag="008">170330e19960501xx      s     000 0 eng  </controlfield>
  <datafield tag="024" ind1="7" ind2="0">
   <subfield code="a">10.1007/BF02280010</subfield>
   <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="035" ind1=" " ind2=" ">
   <subfield code="a">(NATIONALLICENCE)springer-10.1007/BF02280010</subfield>
  </datafield>
  <datafield tag="245" ind1="0" ind2="0">
   <subfield code="a">Semidirect products and wreath products of strongly π-inverse monoids</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Yufen Zhang, Shizheng Li, Desheng Wang]</subfield>
  </datafield>
  <datafield tag="520" ind1="3" ind2=" ">
   <subfield code="a">In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly π-inverse. Furthermore, we determine the least group congruence on a strongly π-inverse monoid, and we give some important isomorphism theorems.</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">Plenum Publishing Corporation, 1996</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Wreath product</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">π-inverse monoid</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">regular monoid</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">group congruence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Zhang</subfield>
   <subfield code="D">Yufen</subfield>
   <subfield code="u">Department of Mathematics, Shandong Normal University, Jinan, P. R. China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Li</subfield>
   <subfield code="D">Shizheng</subfield>
   <subfield code="u">Department of Mathematics, Shandong Normal University, Jinan, P. R. China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Wang</subfield>
   <subfield code="D">Desheng</subfield>
   <subfield code="u">Department of Mathematics, Shandong Normal University, Jinan, P. R. China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Georgian Mathematical Journal</subfield>
   <subfield code="d">Kluwer Academic Publishers-Plenum Publishers</subfield>
   <subfield code="g">3/3(1996-05-01), 293-300</subfield>
   <subfield code="x">1072-947X</subfield>
   <subfield code="q">3:3&lt;293</subfield>
   <subfield code="1">1996</subfield>
   <subfield code="2">3</subfield>
   <subfield code="o">11290</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2="0">
   <subfield code="u">https://doi.org/10.1007/BF02280010</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="908" ind1=" " ind2=" ">
   <subfield code="D">1</subfield>
   <subfield code="a">research-article</subfield>
   <subfield code="2">jats</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">856</subfield>
   <subfield code="E">40</subfield>
   <subfield code="u">https://doi.org/10.1007/BF02280010</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Zhang</subfield>
   <subfield code="D">Yufen</subfield>
   <subfield code="u">Department of Mathematics, Shandong Normal University, Jinan, P. R. China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Li</subfield>
   <subfield code="D">Shizheng</subfield>
   <subfield code="u">Department of Mathematics, Shandong Normal University, Jinan, P. R. China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Wang</subfield>
   <subfield code="D">Desheng</subfield>
   <subfield code="u">Department of Mathematics, Shandong Normal University, Jinan, P. R. China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">773</subfield>
   <subfield code="E">0-</subfield>
   <subfield code="t">Georgian Mathematical Journal</subfield>
   <subfield code="d">Kluwer Academic Publishers-Plenum Publishers</subfield>
   <subfield code="g">3/3(1996-05-01), 293-300</subfield>
   <subfield code="x">1072-947X</subfield>
   <subfield code="q">3:3&lt;293</subfield>
   <subfield code="1">1996</subfield>
   <subfield code="2">3</subfield>
   <subfield code="o">11290</subfield>
  </datafield>
  <datafield tag="900" ind1=" " ind2="7">
   <subfield code="a">Metadata rights reserved</subfield>
   <subfield code="b">Springer special CC-BY-NC licence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="986" ind1=" " ind2=" ">
   <subfield code="a">SWISSBIB</subfield>
   <subfield code="b">378257145</subfield>
  </datafield>
  <datafield tag="898" ind1=" " ind2=" ">
   <subfield code="a">BK010053</subfield>
   <subfield code="b">XK010053</subfield>
   <subfield code="c">XK010000</subfield>
  </datafield>
  <datafield tag="949" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="F">NATIONALLICENCE</subfield>
   <subfield code="b">NL-springer</subfield>
  </datafield>
 </record>
</collection>
