KaydedilenlerDerginizi ekleyin

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

Characterization of automorphisms of Hom-biproducts

Quanguo CHEN
Fu TİNGTİNG
Sayfa
147–161
Yayın Tarihi
2020-02-06
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 study certain subgroups of the full group of monoidal Hom-Hopf algebra automorphisms of a Hom-biproduct, which gives a Hom-version of Radford’s results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We study certain subgroups of the full group of monoidal Hom-Hopf algebra automorphisms of a Hom-biproduct, which gives a Hom-version of Radford’s results.
📊
Temel Bulgular & Veri:We study certain subgroups of the full group of monoidal Hom-Hopf algebra automorphisms of a Hom-biproduct, which gives a Hom-version of Radford’s results.
💡
Sonuç & Katkı:We study certain subgroups of the full group of monoidal Hom-Hopf algebra automorphisms of a Hom-biproduct, which gives a Hom-version of Radford’s results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:monoidal Hom-Hopf algebra · Hom-biproduct · automorphism

Abstract

We study certain subgroups of the full group of monoidal Hom-Hopf algebra automorphisms of a Hom-biproduct, which gives a Hom-version of Radford’s results.

🔖

Bu Makaleye Atıf Yap

CHEN, Q., TİNGTİNG, F. (2020). Characterization of automorphisms of Hom-biproducts. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 147–161. https://ajindex.com/articles/669302

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (20)

  1. N. Andruskiewitsch and H.J. Schneider, On the classification of finite-dimensional pointed Hopf algebras, Ann. Math. 171 (1), 375–417, 2010
  2. D. Bulacu and E. Nauwelaerts, Radford’s biproduct for quasi-Hopf algebras and bosonization, J. Pure Appl. Algebra, 174 (1), 1–42, 2002
  3. S. Caenepeel and I. Goyvaerts, Monoidal Hom-Hopf algebras, Comm. Alg. 39 (6), 2216–2240, 2011
  4. Q.G. Chen and D.G.Wang, Constructing Quasitriangular Hopf Algebras, Comm. Alg. 43 (4), 1698–1722, 2015
  5. Q.G. Chen and D.G. Wang, A Class of Coquasitriangular Hopf Group Algebras, Comm. Alg. 44 (1), 310–335, 2016
  6. Q.G. Chen and D.G. Wang, Duality theorem for L-R crossed coproducts, Appl. Math. J. Chinese Univ. Ser. A, 33 (3), 359–378, 2018
  7. Q.G. Chen and D.G. Wang, Hom-coalgebra cleft extensions and braided tensor Hom- categories of Hom-entwining structures, Hacet. J. Math. Stat. 48 (1), 1–15, 2019
  8. Q.G. Chen, D.G. Wang and X.D. Kang, Twisted partial coactions of Hopf algebras, Front. Math. China, 12 (1), 63–86, 2017
  9. L. Delvaux, Multiplier Hopf algebras in categories and the biproduct construction, Algebr. Represent. Theory, 10 (6), 533–554, 2007
  10. Y. Fregier, A. Gohr and S.D. Silvestrov, Unital algebras of Hom-associative type and surjective or injective twistings, J. Gen. Lie Theory Appl. 3 (4), 285–295, 2009
  11. A. Gohr, On Hom-algebras with surjective twisting, J. Algebra, 324 (7), 1483–1491, 2010
  12. S.J. Guo, X.H. Zhang and S.X. Wang, Braided monoidal categories and Doi-Hopf modules for monoidal Hom-Hopf algebras, Colloq. Math. 143 (1), 79–103, 2016
  13. L. Liu and B.L. Shen, Radford’s biproducts and Yetter-Drinfeld modules for monoidal Hom-Hopf algebras, J. Math. Phys. 55 (3), 031701, 2014
  14. A. Makhlouf and F. Panaite, Yetter-Drinfeld modules for Hom-bialgebras, J. Math. Phys. 55 (1), 013501, 2014
  15. A. Makhlouf and S.D. Silvestrov, Hom-algebras structures, J. Gen. Lie Theory Appl. 2 (2), 51–64, 2008
  16. A. Makhlouf and S.D. Silvestrov, Hom-algebras and Hom-coalgebras, J. Algebra Appl. 9 (4), 553–589, 2010
  17. D.E. Radford, On automorphisms of biproducts, Comm. Alg. 45(4), 1365–1398, 2017
  18. D. Yau, Hom-algebras and homology, J. Lie Theory, 19 (2), 409–421, 2009
  19. D. Yau, Hom-bialgebras and comodule algebras, Int. Electron. J. Algebra, 8, 45–64, 2010
  20. X.F. Zhao and X.H. Zhang, Lazy 2-cocycles over monoidal Hom-Hopf algebras, Colloq. Math. 142 (1), 61–81, 2016.