| Naslov: | Monoid algebras and graph products |
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| Avtorji: | ID Imrich, Wilfried (Avtor)
ID Klep, Igor (Avtor)
ID Smertnig, Daniel (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (443,12 KB)
MD5: B24CC340DB7482219B204BCEDE9BB62C
 URL - Izvorni URL, za dostop obiščite https://adam-journal.eu/index.php/ADAM/article/view/1816
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | In this note, we extend results about unique $n^{\rm th}$ roots and cancellation of finite disconnected graphs with respect to the Cartesian, the strong and the direct product, to the rooted hierarchical products, and to a modified lexicographic product. We show that these results also hold for graphs with countably many finite connected components, as long as every connected component appears only finitely often (up to isomorphism). The proofs are via monoid algebras and generalized power series rings. |
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| Ključne besede: | graph products, monoid algebras, power series rings, uniqueness of roots, cancellation property |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2025 |
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| Leto izida: | 2025 |
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| Št. strani: | 18 str. |
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| Številčenje: | Vol. 8, no. 1, article no. P1.11 |
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| PID: | 20.500.12556/DiRROS-22131  |
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| UDK: | 519.17:512 |
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| ISSN pri članku: | 2590-9770 |
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| DOI: | 10.26493/2590-9770.1816.e85 |
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| COBISS.SI-ID: | 234550019 |
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| Opomba: |
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| Datum objave v DiRROS: | 29.04.2025 |
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| Število ogledov: | 583 |
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| Število prenosov: | 245 |
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| Metapodatki: |    |
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