高子东;任苗苗;

• 1:西北大学数学学院

摘要(Abstract)：

平坦半环是一类重要的加法幂等元半环,它在半环簇理论的研究中扮演着重要的角色.主要研究了次直不可约的平坦半环,以及一类平坦半环生成的簇.给出了次直不可约的nil-平坦半环的等价刻画,证明了当n小于4时,平坦半环S(x_1x_2···x_n)均是有限基底的.

关键词(KeyWords)： ai-半环;平坦半环;半环同余;半环簇

Abstract:

Keywords:

基金项目(Foundation): 国家自科学基金(11701449,11971383,11571278,11801239);; 陕西省自然科学基金(2022JM-009)

作者(Authors): 高子东;任苗苗;

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