Zero-divisor graphs of nilpotent-free semigroups
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Epstein, Neil | |
dc.contributor.author | Nasehpour, Peyman | |
dc.date.accessioned | 2021-12-23T16:08:28Z | - |
dc.date.available | 2021-12-23T16:08:28Z | - |
dc.date.issued | 2013 | |
dc.identifier.issn | 09259899 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/8305 | - |
dc.description.abstract | We find strong relationships between the zero-divisor graphs of apparently disparate kinds of nilpotent-free semigroups by introducing the notion of an Armendariz map between such semigroups, which preserves many graph-theoretic invariants. We use it to give relationships between the zero-divisor graph of a ring, a polynomial ring, and the annihilating-ideal graph. Then we give relationships between the zero-divisor graphs of certain topological spaces (so-called pearled spaces), prime spectra, maximal spectra, tensor-product semigroups, and the semigroup of ideals under addition, obtaining surprisingly strong structure theorems relating ring-theoretic and topological properties to graph-theoretic invariants of the corresponding graphs. | |
dc.description.sponsorship | DFG (German Research Foundation)German Research Foundation (DFG); The first named author was partially supported by a grant from the DFG (German Research Foundation). | |
dc.language.iso | en | |
dc.publisher | SPRINGER | |
dc.relation.ispartof | JOURNAL OF ALGEBRAIC COMBINATORICS | |
dc.subject | ANNIHILATING-IDEAL GRAPH | |
dc.subject | Armendariz map | |
dc.subject | Comaximal graph | |
dc.subject | Graph invariants | |
dc.subject | Mathematics | |
dc.subject | Nilpotent-free semigroup | |
dc.subject | Zero-divisor graph | |
dc.title | Zero-divisor graphs of nilpotent-free semigroups | |
dc.type | journal article | |
dc.identifier.doi | 10.1007/s10801-012-0377-x | |
dc.identifier.isi | ISI:000316760700004 | |
dc.description.volume | 37 | |
dc.description.issue | 3 | |
dc.description.startpage | 523 | |
dc.description.endpage | 543 | |
dc.contributor.orcid | 0000-0001-6625-364X | |
dc.contributor.orcid | 0000-0003-2167-2001 | |
dc.contributor.researcherid | O-7163-2018 | |
dc.identifier.eissn | 15729192 | |
dc.publisher.place | 233 SPRING ST, NEW YORK, NY 10013 USA | |
dcterms.isPartOf.abbreviation | J. Algebr. Comb. | |
dcterms.oaStatus | Green Submitted, Bronze |
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geprüft am 01.06.2024