Symmetric inverse topological semigroups of finite rank ≤ n
We establish topological properties of the symmetric inverse topological semigroup of finite transformations of the rank ≤ n . We show that the topological inverse semigroup is algebraically h -closed in the class of topological inverse semigroups. Also we prove that a topological semigroup S with c...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-12, Vol.171 (4), p.425-432 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 171 |
| creator | Gutik, O. V. Reiter, A. R. |
| description | We establish topological properties of the symmetric inverse topological semigroup of finite transformations
of the rank ≤
n
. We show that the topological inverse semigroup
is algebraically
h
-closed in the class of topological inverse semigroups. Also we prove that a topological semigroup
S
with countably compact square
S
×
S
does not contain the semigroup
for infinite cardinal λ and show that the Bohr compactification of an infinite topological symmetric inverse semigroup of finite transformations
of the rank ≤
n
is the trivial semigroup. |
| doi_str_mv | 10.1007/s10958-010-0147-z |
| format | Article |
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of the rank ≤
n
. We show that the topological inverse semigroup
is algebraically
h
-closed in the class of topological inverse semigroups. Also we prove that a topological semigroup
S
with countably compact square
S
×
S
does not contain the semigroup
for infinite cardinal λ and show that the Bohr compactification of an infinite topological symmetric inverse semigroup of finite transformations
of the rank ≤
n
is the trivial semigroup.</description><identifier>ISSN: 1072-3374</identifier><identifier>EISSN: 1573-8795</identifier><identifier>DOI: 10.1007/s10958-010-0147-z</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Mathematics ; Mathematics and Statistics</subject><ispartof>Journal of mathematical sciences (New York, N.Y.), 2010-12, Vol.171 (4), p.425-432</ispartof><rights>Springer Science+Business Media, Inc. 2010</rights><rights>COPYRIGHT 2010 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c342z-d15aa6474dd76581d974857082d077946c60fadbf1aa5744c709fea84877a2e3</citedby><cites>FETCH-LOGICAL-c342z-d15aa6474dd76581d974857082d077946c60fadbf1aa5744c709fea84877a2e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10958-010-0147-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10958-010-0147-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Gutik, O. V.</creatorcontrib><creatorcontrib>Reiter, A. R.</creatorcontrib><title>Symmetric inverse topological semigroups of finite rank ≤ n</title><title>Journal of mathematical sciences (New York, N.Y.)</title><addtitle>J Math Sci</addtitle><description>We establish topological properties of the symmetric inverse topological semigroup of finite transformations
of the rank ≤
n
. We show that the topological inverse semigroup
is algebraically
h
-closed in the class of topological inverse semigroups. Also we prove that a topological semigroup
S
with countably compact square
S
×
S
does not contain the semigroup
for infinite cardinal λ and show that the Bohr compactification of an infinite topological symmetric inverse semigroup of finite transformations
of the rank ≤
n
is the trivial semigroup.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1072-3374</issn><issn>1573-8795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kc9KAzEQhxdRsFYfwNuCJw9bk012J3vwUIp_CgXB9h5iNllSd5OSbMX2DXwPn8wnMaVeCkXCkDB838DklyTXGI0wQnAXMKoKliGMYlHItifJABdAMgZVcRrfCPKMEKDnyUUISxSdkpFBcj_fdJ3qvZGpsR_KB5X2buVa1xgp2jSozjTerVchdTrVxppepV7Y9_Tn6zu1l8mZFm1QV3_3MFk8Piwmz9ns5Wk6Gc8ySWi-zWpcCFFSoHUNZcFwXQFlBSCW1wigoqUskRb1m8ZCFECpBFRpJRhlACJXZJjc7Mc2olXcWO16L2RnguRjAqQiDKM8UtkRqlFWedE6q7SJ7QN-dISPp45Ly6PC7YEQmV599o1Yh8Cn89dDFu9Z6V0IXmm-8qYTfsMx4rvE-D4xHhPju8T4Njr53gmRtY3yfOnW3saP_Uf6BWIZl08</recordid><startdate>20101206</startdate><enddate>20101206</enddate><creator>Gutik, O. V.</creator><creator>Reiter, A. R.</creator><general>Springer US</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20101206</creationdate><title>Symmetric inverse topological semigroups of finite rank ≤ n</title><author>Gutik, O. V. ; Reiter, A. R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c342z-d15aa6474dd76581d974857082d077946c60fadbf1aa5744c709fea84877a2e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gutik, O. V.</creatorcontrib><creatorcontrib>Reiter, A. R.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gutik, O. V.</au><au>Reiter, A. R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Symmetric inverse topological semigroups of finite rank ≤ n</atitle><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle><stitle>J Math Sci</stitle><date>2010-12-06</date><risdate>2010</risdate><volume>171</volume><issue>4</issue><spage>425</spage><epage>432</epage><pages>425-432</pages><issn>1072-3374</issn><eissn>1573-8795</eissn><abstract>We establish topological properties of the symmetric inverse topological semigroup of finite transformations
of the rank ≤
n
. We show that the topological inverse semigroup
is algebraically
h
-closed in the class of topological inverse semigroups. Also we prove that a topological semigroup
S
with countably compact square
S
×
S
does not contain the semigroup
for infinite cardinal λ and show that the Bohr compactification of an infinite topological symmetric inverse semigroup of finite transformations
of the rank ≤
n
is the trivial semigroup.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s10958-010-0147-z</doi><tpages>8</tpages></addata></record> |
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| identifier | ISSN: 1072-3374 |
| ispartof | Journal of mathematical sciences (New York, N.Y.), 2010-12, Vol.171 (4), p.425-432 |
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| language | eng |
| recordid | cdi_gale_infotracmisc_A373938102 |
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| subjects | Mathematics Mathematics and Statistics |
| title | Symmetric inverse topological semigroups of finite rank ≤ n |
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