On partial endomorphisms of a star graph
In this paper we consider the monoids of all partial endomorphisms, of all partial weak endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms and of all partial strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to d...
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creator | Dimitrova, Ilinka Fernandes, Vítor H Koppitz, Jörg |
description | In this paper we consider the monoids of all partial endomorphisms, of all
partial weak endomorphisms, of all injective partial endomorphisms, of all
partial strong endomorphisms and of all partial strong weak endomorphisms of a
star graph with a finite number of vertices. Our main objective is to determine
their ranks. We also describe their Green's relations, calculate their
cardinalities and study their regularity. |
doi_str_mv | 10.48550/arxiv.2401.11741 |
format | Article |
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partial weak endomorphisms, of all injective partial endomorphisms, of all
partial strong endomorphisms and of all partial strong weak endomorphisms of a
star graph with a finite number of vertices. Our main objective is to determine
their ranks. We also describe their Green's relations, calculate their
cardinalities and study their regularity.</description><identifier>DOI: 10.48550/arxiv.2401.11741</identifier><language>eng</language><subject>Mathematics - Rings and Algebras</subject><creationdate>2024-01</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2401.11741$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2401.11741$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dimitrova, Ilinka</creatorcontrib><creatorcontrib>Fernandes, Vítor H</creatorcontrib><creatorcontrib>Koppitz, Jörg</creatorcontrib><title>On partial endomorphisms of a star graph</title><description>In this paper we consider the monoids of all partial endomorphisms, of all
partial weak endomorphisms, of all injective partial endomorphisms, of all
partial strong endomorphisms and of all partial strong weak endomorphisms of a
star graph with a finite number of vertices. Our main objective is to determine
their ranks. We also describe their Green's relations, calculate their
cardinalities and study their regularity.</description><subject>Mathematics - Rings and Algebras</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzj1vwjAQgGEvDCjlBzDhsUvCXez0ziNCLSAhsbBHlzgukciHnKhq_30F7fRurx6l1giZ5aKArcTv9ivLLWCGSBaX6vXS61Hi3MpdN70fuiGOt3bqJj0ELXqaJerPKOPtRS2C3Kdm9d9EXT_er_tjer4cTvvdOZU3wtQUYIDympjZCwZ27J2vckeBLBUBneHK1oChqS0GY5EkMJD1nEMDziRq87d9Ussxtp3En_JBLp9k8wt5CTm4</recordid><startdate>20240122</startdate><enddate>20240122</enddate><creator>Dimitrova, Ilinka</creator><creator>Fernandes, Vítor H</creator><creator>Koppitz, Jörg</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240122</creationdate><title>On partial endomorphisms of a star graph</title><author>Dimitrova, Ilinka ; Fernandes, Vítor H ; Koppitz, Jörg</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-3503072c7888da1f898d9db297f7475f1938b4c01fec41f3417af8074d820e093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Rings and Algebras</topic><toplevel>online_resources</toplevel><creatorcontrib>Dimitrova, Ilinka</creatorcontrib><creatorcontrib>Fernandes, Vítor H</creatorcontrib><creatorcontrib>Koppitz, Jörg</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Dimitrova, Ilinka</au><au>Fernandes, Vítor H</au><au>Koppitz, Jörg</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On partial endomorphisms of a star graph</atitle><date>2024-01-22</date><risdate>2024</risdate><abstract>In this paper we consider the monoids of all partial endomorphisms, of all
partial weak endomorphisms, of all injective partial endomorphisms, of all
partial strong endomorphisms and of all partial strong weak endomorphisms of a
star graph with a finite number of vertices. Our main objective is to determine
their ranks. We also describe their Green's relations, calculate their
cardinalities and study their regularity.</abstract><doi>10.48550/arxiv.2401.11741</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Rings and Algebras |
title | On partial endomorphisms of a star graph |
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