广义幂级数环的素理想和素根  

Prime Ideals and the Prime Radical of Rings of Generalized Power Series

作　　者：肖民卿[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2003年第3期1-4,共4页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省教育厅基金资助项目(JA02163)

摘　　要：讨论广义幂级数环[[RS,≤]]的素理想、半素理想,分别给出广义幂级数环为素环和半素环的充分必要条件.探讨广义幂级数环[[RS,≤]]的素根与其系数环R的素根之间的关系.is a prime ideal of the ring of generalized power series [[RS,≤]] if and only if I is a prime ideal of a ring R (unnecessarily commutative)with unit element 1 and S is Artinian and narrow. Some necessary and sufficient conditions of [[IS,≤]] being a semiprime ideal, R being a prime ridical, R being a semiprime ring are given respectively. And then the connection between the pr i and the prime radical of [[RS,≤]] is discussed

关 键 词：广义幂级数环 素理想 半素理想 素根 素环 半素环 结合环 严格偏序么半群 

分 类 号：O153.3[理学—数学]