Author(s): SU Weijun
Pages: 17-22
Year: 2011 Issue:  1
Journal: Journal of Beijing Normal University(Natural Science)
Keyword:  可逆环; 刚性环; 斜幂级数环; α-sps Armendariz环; Baer性; p.p.性;
Abstract: 设R是环,环R的自同态α称为可逆的,如果对任意α,6∈R,若n6=O,则α(6)α=0.环R称为α-可逆环,如果R存在可逆的自同态α.本文将可逆环的结论推广到α可逆环上,另外证明了斜幂级数环(简单地记为sps环)和Armendariz环的推广α-sps Armenclariz环R[x;α]]的Baer性和右p.p.性.