KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Morita-like equivalence for fair semigroups

Yang Lİ
Hongxing LİU
Sayfa
19–29
Yayın Tarihi
2022-10-18
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)

Also, we investigate Morita context for right fair semigroups and obtain equivalence between two right unitary act categories.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we mainly investigate Morita-like equivalence and Morita context for right fair semigroups.
📊
Temel Bulgular & Veri:If two right fair semigroups $S$ and $T$ are Morita-like equivalent, that is, there is a category equivalence $F:US-Act\rightleftharpoons:UT-Act:G,$ we characterize the two functors $F$ and $G$ using $Hom$ functor and tense product functor.
💡
Sonuç & Katkı:Also, we investigate Morita context for right fair semigroups and obtain equivalence between two right unitary act categories.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:fair semigroup · Morita equivalence · Morita context

Abstract

In this paper, we mainly investigate Morita-like equivalence and Morita context for right fair semigroups. If two right fair semigroups $S$ and $T$ are Morita-like equivalent, that is, there is a category equivalence $F:US-Act\rightleftharpoons:UT-Act:G,$ we characterize the two functors $F$ and $G$ using $Hom$ functor and tense product functor. Also, we investigate Morita context for right fair semigroups and obtain equivalence between two right unitary act categories.

🔖

Bu Makaleye Atıf Yap

Lİ, Y., LİU, H. (2022). Morita-like equivalence for fair semigroups. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 19–29. https://ajindex.com/articles/529582

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. G. Abrams, Morita equivalence for rings with local units, Commun. Algebra, 11, 801–837, 1983
  2. P.N. Ánh and L.Márki, Morita equivalence for rings without identity, Tsukuba J. Math. 11, 1–16, 1987
  3. B. Banaschewski, Functors into categories of M-sets, Abh. Math. Sem. Univ. Ham- burg, 38, 49–64, 1972
  4. K.R. Fuller, Density and equivalence, J. Algebra 29, 528–550, 1974
  5. J.L. García and L.Marín, Rings having a Morita-like equivalence, Commun. Algebra, 27, 665–680, 1999
  6. J.M. Howie, Fundamentals of semigroup theory, Clarendon press, Oxford, 1995
  7. M. Kilp, U. Knauer and A.V. Mikhalev, Monoids Acts and Categories, Degruyter Expositions in Mathematics, 2000
  8. U. Knauer, Projectivity of acts and Morita equivalence of monoids, Semigroup Forum 3, 359–370, 1972
  9. V. Laan and L. Márki, Strong Morita equivalence of semigroups with local units, J. Pure Appl. Algebra, 215, 2538–2546, 2011
  10. V. Laan and L. Márki, Morita invariants for semigroups with local units, Monatsh. Math. 166, 441–451, 2012
  11. V. Laan and L. Márki, Fair semigroups and Morita equivalence, Semigroup Forum, 92, 633–644, 2016
  12. M.V. Lawson, Morita equivalence of semigroups with local units, J. Pure Appl. Alge- bra 215, 455–470, 2011
  13. H. Liu, Morita equivalence based on Morita context for arbitrary semigroups, Hacet. J. Math. Stat. 45 (4), 1083–1090, 2016
  14. B.Y. Ouyang and W.T. Tong, Morita context and Morita-like equivalence for the xst-rings, Acta Math. Sinica (English Series), 19, 371–380, 2003
  15. B.Y. Ouyang, L.R. Zhou and W.T. Tong, Characterizations of Morita-like Equiva- lences for right xst-rings, Algebra Colloquium, 14, 85–95, 2007
  16. S. Talwar, Morita equivalence for semigroups, J. Aust. Math. Soc. (Series A), 59, 81–111, 1995
  17. Y.H. Xu, K.P. Shum and R.F. Turner-Smith, Morita-like equivalence of infinite matrix subrings, J. Algebra, 159, 423–435, 1993.