Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (2): 42-46.

Previous Articles     Next Articles

Graded Maps Over Q and Graded Extensions of Type (e) in K[Q,σ]

XIE Guang-ming, LIU Feng, WEI Chun-hao   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2010-01-20 Online:2010-06-20 Published:2023-02-07

Abstract: Let σ be a group homomorphism from Q to Aut(K),K[Q,σ] be the skew group ring of Q,and V be a total valuation ring of K.Let K(Q,σ) be the quotient ring of K[Q,σ].In this paper,complete descriptions ofgraded maps over Q and graded extensions of type (e) over K[Q,σ] are given.

Key words: graded map, total valuation ring, graded extension

CLC Number: 

  • O153.3
[1] BRUNGS H H,MARUBAYASHI H,OSMANAGIC E.Gauss extensions and totalgraded subrings for crossed product algebras[J].J Algebra,2007,316(1):189-205.
[2] BRUNGS H H,SCHRO¨DER M.Valuation rings in Oreextensions[J].J Algebra,2001,235:665-680.
[3] BRUNGS H H,TO¨RNER G.Extensions of chain rings[J].Math Z,1984,185:93-104.
[4] IRAWATI S,MARUBAYASHI H,UEDA A.On R-ideals of a Dubrovin valuation ring R[J].Comm in Algebra,2004,32(1):261-267.
[5] XIE Guang-ming,MARUBAYASHI H.A classification of graded extensions in a skew Laurent polynomial ring[J].J Math Soc Japan,2008,60(2):423-443.
[6] 谢光明,谷学伟,陈义.Z(2)上的纯锥与K[Z(2),σ]上的平凡分次扩张[J].广西师范大学学报:自然科学版,2009,27(4):36-40.
[7] XIE Guang-ming,MARUBAYASHI H.A classification of graded extensions in a skew Laurent polynomial ring Ⅱ[J].J Math Soc Japan,2009,61(4):1111-1130.
[1] MENG Shu-hui, YIN Fang-hu, XIE Guang-ming. Graded Extentions of K[x1, x2; x-11,x-12] [J]. Journal of Guangxi Normal University(Natural Science Edition), 2015, 33(1): 74-79.
[2] WEI Yin-hu, PANG Gui-xi, WU Jiao, XIE Guang-ming. Invariant Gauss Extensions in Q(K G) [J]. Journal of Guangxi Normal University(Natural Science Edition), 2013, 31(2): 55-57.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] CHEN Yong-qi, BAI Ke-zhao, KUANG hua, KONG Ling-jiang, LIU Mu-ren. Effect of Internal Layout on the Pedestrian Evacuation in the Classroom[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(1): 1 -4 .
[2] XU Lun-hui, YE Fan. Acceleration Noise Model Based on Horizontal,Vertical and LateralAcceleration[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(1): 5 -9 .
[3] YANG Li, KONG Ling-jiang. Capillary Force between Microparticles[J]. Journal of Guangxi Normal University(Natural Science Edition), 2012, 30(1): 1 -4 .
[4] HE Qing, LIU Jian, WEI Lianfu. Single-Photon Detectors as the Physical Limit Detections of Weak Electromagnetic Signals[J]. Journal of Guangxi Normal University(Natural Science Edition), 2022, 40(5): 1 -23 .
[5] BAI Ke-zhao, LUO Xu-dong, KONG Ling-jiang, LIU Mu-ren. Cellular Automaton Model of Date Transmission with Open Boundary Condition[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 1 -4 .
[6] XU Lun-hui, LIAO Ran-kun. Signal Phasing-Sequence Optimization of Intersection Based on Traffic Track[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 5 -9 .
[7] WANG Xiu-xin, QIN Li-mei, NONG Jing-hui, LIANG Zong-jin, ZHU Qi-jiang. Land Surface Temperature Retrieval with Mono-window Algorithm in Karst City[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 10 -14 .
[8] LI Yu-fang, ZHANG Jun-jian. Strong Consistency of the Regression Weighted Function Estimator for Negatively Associated Samples[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 15 -19 .
[9] JIA Bao-hua. A Strictly Stationary Associated Random Sequence Which Unsatisfythe Central Limit Theorem[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 20 -23 .
[10] CHEN Cui-ling, LI Ming, LIANG Jia-mei, LI Lüe. A Class of New Conjugate Gradient Method and Its Convergence Property Under the Wolfe Line Search[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 24 -28 .