KaydedilenlerDerginizi ekleyin

Dergiler / Sakarya University Journal of Science / 2019 / Cilt: 23 Sayı: 3

Dual Zariski Topology on Comultiplication Modules

Ortaç ÖNEŞ
Sayfa
390–395
Yayın Tarihi
2019-06-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We prove that XsN is an Artinian topological space if and only if M satisfies the SN-condition.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper deals with dual Zariski topology on comultiplication modules.
📊
Temel Bulgular & Veri:We define a subspace topology of dual Zariski topology on comultiplication modules and study some properties of this subspace topology.
💡
Sonuç & Katkı:We prove that XsN is an Artinian topological space if and only if M satisfies the SN-condition.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Comultiplication Modules · Dual Zariski Topology · Second Module

Abstract

This paper deals with dual Zariski topology on comultiplication modules. We define a subspace topology of dual Zariski topology on comultiplication modules and study some properties of this subspace topology. We prove that XsN is an Artinian topological space if and only if M satisfies the SN-condition.

🔖

Bu Makaleye Atıf Yap

ÖNEŞ, O. (2019). Dual Zariski Topology on Comultiplication Modules. Sakarya University Journal of Science, Cilt: 23 Sayı: 3, 390–395. https://ajindex.com/articles/942032

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (1)

  1. R. Ameri, “Some properties of Zariski topology of multiplication modules”, Houston Journal of Mathematics, vol. 36, pp. 337-344, 2010. H. Ansari-Toroghy and F. Farshadifar, “On the Dual Notion of Prime Submodules,” Algebra Colloquium, vol. 19, no. 1, pp. 1109–1116, 2012. H. Ansari-Toroghy and F. Farshadifar, “The Zariski Topology on the Second Spectrum of a Module,” Algebra Colloquium, vol. 21, no. 4, pp. 671–688, 2014. N. Bourbaki, “Elements of Mathematics General Topology Part 1 and Part 2,” Hermann and Addison-Wesley, Paris, 1966. S. Çeken and M. Alkan, “On the second Spectrum and the Second Classical Zariski topology of a Module,” Journal of Algebra and Its Applications, vol. 14, no. 8, pp. 1550150(1)–1550150(13), 2015. S. Çeken and M. Alkan, “Dual of Zariski topology for modules,” Book Series: AIP Conf. Proc., vol. 1389, no. 1, pp. 357–360, 2013. Z. El-Bast and P. F. Smith, “Multiplications Modules,” Comm. in Algebra, vol. 16, pp. 755-779, 1998. C. P. Lu, “The Zariski topology on the prime spectrum of a module,” Houston Journal of Mathematics, vol. 25, no. 3, pp. 417-432, 1999. R. Y. Sharp, “Steps in commutative algebra,” Cambridge University Press, Cambridge, 2001. O. Öneş and M. Alkan, “The structure of some topologies on modules,” AIP Conference Proceedings, vol. 1863, no. 1, pp. 300010(1)- 300010(4), 2017. O. Öneş and M. Alkan, “Zariski Subspace Topologies On Ideals,” Hacettepe Journal of Mathematics and Statistics, accepted, Doi: 10.15672/HJMS.2018.597, 2018. O. Öneş and M. Alkan, “The relationships between graded ideals and subspaces,” AIP Conference Proceedings, vol. 1991, no. 1, pp. 020027(1)- 020027(4), 2018. S. Yassemi, “The dual notion of prime submodules,” Arch. Math. (Brno), vol. 37, pp. 273–278, 2001.