On the genus and crosscap of the extended sum annihilating-ideal graph of commutative rings

Basit Öğe Kaydı
dc.contributor.authorNazim, Mohd
dc.contributor.authorUr Rehman, Nadeem
dc.contributor.authorAbdioğlu, Cihat
dc.contributor.authorMir, Shabir Ahmad
dc.contributor.authorNazim
dc.date.accessioned2025-03-21T12:04:57Z
dc.date.available2025-03-21T12:04:57Z
dc.date.issued2025
dc.departmentKMÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü
dc.description.abstractIn the context of a commutative ring with unity, denoted as S, and its associated set of annihilating ideals A(S), there exists a graph known as the extended sum annihilating-ideal graph, denoted as AGΩ(S). This graph has its vertex set derived from the set A(S)*, and it exhibits a specific pattern of connections between its vertices. More precisely, two distinct vertices, referred to as ℑ1 and ℑ2, are linked by an edge if and only if one of the following conditions holds: either ℑ1ℑ2=0 or ℑ1 +ℑ2 ∈ A(S). In the following research paper, we delve into the classification of Artinian commutative rings, denoted as S, with a particular focus on those where the extended sum annihilating-ideal graph takes on one of three distinct forms: a double toroidal graph, a projective plane, or a Klein bottle. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.
dc.identifier.citationNazim, M., Ur Rehman, N., Abdioğlu, C., Mir, S.A., Nazim. (2025). On the genus and crosscap of the extended sum annihilating-ideal graph of commutative rings. Springer Proceedings in Mathematics and Statistics, 474, pp. 57-68.
dc.identifier.doi10.1007/978-981-97-6798-4_5
dc.identifier.endpage68
dc.identifier.startpage57
dc.identifier.urihttps://doi.org/10.1007/978-981-97-6798-4_5
dc.identifier.urihttps://hdl.handle.net/11492/10700
dc.identifier.volume474
dc.indekslendigikaynakScopus
dc.institutionauthorAbdioğlu, Cihat
dc.institutionauthoridAbdioğlu, Cihat/0000-0002-7874-2392
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofSpringer Proceedings in Mathematics and Statistics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAnnihilating-Ideal Graph
dc.subjectCrosscap Of A Graph
dc.subjectExtended Sum Annihilating-Ideal Graph
dc.subjectGenus Of A Graph
dc.subjectSum Annihilating-Ideal Graph
dc.titleOn the genus and crosscap of the extended sum annihilating-ideal graph of commutative rings
dc.typeConference Object

Dosyalar

Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
Matematik ve Fen Bilimleri Eğitimi Bölümü, Bildiri & Sunum Koleksiyonu