半环簇CoSn·的一些子簇
Some subvarieties of semiring variety COSn·
付钰琛 1邵勇1
作者信息
- 1. 西北大学数学学院,陕西西安 710127
- 折叠
摘要
研究满足附加恒等式xn ≈x,(2n-1)x≈x,(x+y)n-1≈xn-1+yn-1以及(xy)n-1≈xn-1yn-1的半环,给出该类半环的(H)∧(H),(H)∧(B),(H)∧(D),(H)∨(B),(H)∨(B),(H)∨(D)以及(H)∨(H)关系的等价刻画,得到以上关系为同余的充分必要条件,证明由上述同余所确定的半环类都是簇.
Abstract
Green's relations on a semiring satisfying additional identities xn≈x,(2n-1)x≈x,(x+y)n-1≈xn-1+yn-1 and(xy)n-1xn≈-1 xn-1yn-1 are studied.Equivalent characterizations of.(H)∧(H),(H)∧(B),(H)∨(B),(H)∨(B),(H)∨(D)and(H)∨(H)are obtained.The necessary and sufficient conditions for the above relations to be congruent are characterized,and then it is proved that the semiring classes determined by the above congruences are varieties.
关键词
半环/簇/完全正则半群/格林关系/同余Key words
semiring/variety/completely regular semigroup/Green's relation/congruence引用本文复制引用
基金项目
国家自然科学基金(11971383)
重庆市自然科学基金(cstc2020jcyjmsxmX0272)
陕西数理基础科学研究项目(22JSY023)
出版年
2024
NETL
NSTL
万方数据