<?xml version="1.0" encoding="UTF-8"?>
<collection xmlns="http://www.loc.gov/MARC21/slim">
 <record>
  <leader>     caa a22        4500</leader>
  <controlfield tag="001">445345292</controlfield>
  <controlfield tag="003">CHVBK</controlfield>
  <controlfield tag="005">20180317142827.0</controlfield>
  <controlfield tag="007">cr unu---uuuuu</controlfield>
  <controlfield tag="008">170323e20111201xx      s     000 0 eng  </controlfield>
  <datafield tag="024" ind1="7" ind2="0">
   <subfield code="a">10.1007/s00233-011-9324-8</subfield>
   <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="035" ind1=" " ind2=" ">
   <subfield code="a">(NATIONALLICENCE)springer-10.1007/s00233-011-9324-8</subfield>
  </datafield>
  <datafield tag="100" ind1="1" ind2=" ">
   <subfield code="a">Zheng</subfield>
   <subfield code="D">Hengwu</subfield>
   <subfield code="u">School of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong, P.R. China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="245" ind1="1" ind2="0">
   <subfield code="a">$\mathcal{P}$ -kernel normal systems for $\mathcal{P}$ -inversive semigroups</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Hengwu Zheng]</subfield>
  </datafield>
  <datafield tag="520" ind1="3" ind2=" ">
   <subfield code="a">As a generalization of Preston's kernel normal systems, $\mathcal{P}$ -kernel normal systems for $\mathcal{P}$ -inversive semigroups are introduced, and strongly regular $\mathcal{P}$ -congruences on $\mathcal{P}$ -inversive semigroups in terms of their $\mathcal{P}$ -kernel normal systems are characterized. These results generalize the corresponding results for $\mathcal{P}$ -regular semigroups and $\mathcal{P}$ -inversive semigroups.</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">The Author(s), 2011</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">E-inversive semigroup</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">$\mathcal{P}$ -inversive semigroup</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Strongly regular $\mathcal{P}$ -congruence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">$\mathcal{P}$ -kernel normal system</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Semigroup Forum</subfield>
   <subfield code="d">Springer-Verlag</subfield>
   <subfield code="g">83/3(2011-12-01), 457-467</subfield>
   <subfield code="x">0037-1912</subfield>
   <subfield code="q">83:3&lt;457</subfield>
   <subfield code="1">2011</subfield>
   <subfield code="2">83</subfield>
   <subfield code="o">233</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2="0">
   <subfield code="u">https://doi.org/10.1007/s00233-011-9324-8</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/s00233-011-9324-8</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">100</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Zheng</subfield>
   <subfield code="D">Hengwu</subfield>
   <subfield code="u">School of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong, 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">Semigroup Forum</subfield>
   <subfield code="d">Springer-Verlag</subfield>
   <subfield code="g">83/3(2011-12-01), 457-467</subfield>
   <subfield code="x">0037-1912</subfield>
   <subfield code="q">83:3&lt;457</subfield>
   <subfield code="1">2011</subfield>
   <subfield code="2">83</subfield>
   <subfield code="o">233</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="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>
