Study about Crossed Product R#\(_{\sigma}\)G and a Group-Ring R[G]

Authors

  • K. P. Shum Institute of Mathematics, Yunnan University, Kunming, 650091, China.
  • Xu Yonghua Institute of Mathematics, Fudan University, Shanghai, China.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v1/11625D

Keywords:

Cross mappings, crossed products, group-rings, Morita equivalence

Abstract

The crossed product of a ring R over a group G under a cross mapping \(\sigma\), that is, the crossed product R#\(_{\sigma}\)G, is explored in this chapter. Next, we deduce that R#\(_{\sigma}\)G and the group-ring R[G] are Morita Equivalent.

Published

2021-10-15

How to Cite

K. P. Shum, & Xu Yonghua. (2021). Study about Crossed Product R#\(_{\sigma}\)G and a Group-Ring R[G]. Recent Advances in Mathematical Research and Computer Science Vol. 1, 92–110. https://doi.org/10.9734/bpi/ramrcs/v1/11625D

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 1

Section

Chapters