KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Volume: 71 Issue: 4

On $\mathcal{F}$-cosmall morphisms

Berke Kaleboğaz(HACETTEPE UNIVERSITY)0000-0002-4903-2244
Derya Keskin Tütüncü(HACETTEPE UNIVERSITY)0000-0002-3459-1924
Sayfa
—
Yayın Tarihi
2022-12-30
🏛️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)

As an application, we investigate our results in a pure-exact substructure $\mathcal{F}$.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we first define the notion of $\mathcal{F}$-cosmall quotient for an additive exact substructure $\mathcal{F}$ of an exact structure $\mathcal{E}$ in an additive category $\mathcal{A}$.
📊
Temel Bulgular & Veri:We show that every $\mathcal{F}$-cosmall quotient is right minimal in some cases.
💡
Sonuç & Katkı:As an application, we investigate our results in a pure-exact substructure $\mathcal{F}$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\mathcal{F}$-cosmall quotients · right minimal morphisms · $\mathcal{F}$-superfluous quotients

Abstract

In this paper, we first define the notion of $\mathcal{F}$-cosmall quotient for an additive exact substructure $\mathcal{F}$ of an exact structure $\mathcal{E}$ in an additive category $\mathcal{A}$. We show that every $\mathcal{F}$-cosmall quotient is right minimal in some cases. We also give the definition of $\mathcal{F}$-superfluous quotient and we relate it the approximation of modules. As an application, we investigate our results in a pure-exact substructure $\mathcal{F}$.

🔖

Bu Makaleye Atıf Yap

Kaleboğaz, B., Tütüncü, D. K. (2022). On $\mathcal{F}$-cosmall morphisms. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 4. https://doi.org/10.31801/cfsuasmas.1061084

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. Auslander, M., Rieten, I., Smalø S.O., Represantation Theory of Artin Algebras Volume 36 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1995.
  2. Bühler, T., Exact categories, Expo. Math., 28(1) (2010), 1–69.
  3. Cortes-Izurdiaga, M., Guil Asensio, P.A., Keskin Tütüncü D., Srivastava, A.K., Endomorphism rings via minimal morphisms, Mediterr. J. Math., 18(152) (2021), 16 pages. https://doi.org/10.1007/s00009-021-01802-9
  4. Cortes-Izurdiaga, M., Guil Asensio, P.A., Kaleboğaz, B., Srivastava, A.K., Ziegler partial morphisms in additive exact categories, Bull. Math. Sci., 10(3) 2050012 (2020), 37 pages. https://doi.org/10.1142/S1664360720500125
  5. Fieldhouse, D. J., Pure theories, Math. Ann., 184 (1969), 1-18.
  6. Kaleboğaz, B., F-copartial morphisms, Accepted in Bull. Malaysian Math. Sci. Soc.
  7. Keller, B., Chain complexes and stable categories, Manuscripta Math., 67(4) (1990), 379–417.
  8. Keskin Tütüncü, D., Subrings of endomorphism rings associated with right minimal morphisms, submitted.
  9. Monari Martinez, E., On Pure-Injective Modules, Abelian Groups and Modules, Proceedings of the Udine Conference CISM Courses and Lectures No. 287, Springer-Verlag, Vienna-New York (1984), 383-393. https://doi.org/10.1007/978-3-7091-2814-5 29
  10. Warfield, R. B., Purity and algebraic compactness for modules, Pacific J. Math., 28 (1969), 699–719.
  11. Zhu, H.Y., Ding N. Q., S-superfluous and S-essential homomorphisms, Acta Math. Sci., 29B(2) (2009), 391-401. https://doi.org/10.1016/S0252-9602(09)60038-2
  12. Ziegler, M., Model theory of modules, Annals Pure Appl. Logic, 26 (1984), 149-213.