| 广义(m,n)超环 |
| |
| 引用本文： | 李皓,辛小龙.广义(m,n)超环[J].数学杂志,2012,32(5):904-912. |
| |
| 作者姓名： | 李皓 辛小龙 |
| |
| 作者单位： | 西北大学数学系,陕西西安,710127 |
| |
| 基金项目： | 陕西省教育厅专项科研基金资助 |
| |
| 摘 要： | 本文研究了广义(m,n)超环,n元正则关系以及n元强正则关系等的一些性质.利用广义(m,n)超环间的同态关系以及正则和强正则关系,得到了(m,n)子超环和(m,n)超理想的不变性,广义(m,n)超环的商结构,以及构成商超环和商环的充分必要条件,推广了文献5]的一些结果.
|
| 关 键 词： | (m n)超环 (m n)超理想 强同态 n元正则关系 |
GENERALIZED (m, n)-HYPERRINGS |
| |
| LI Hao
,
XIN Xiao-long.GENERALIZED (m, n)-HYPERRINGS[J].Journal of Mathematics,2012,32(5):904-912. |
| |
| Authors: | LI Hao XIN Xiao-long |
| |
| Institution: | (Department of Mathematics,Northwest University,Xi’an 710127,China) |
| |
| Abstract: | In this paper,we study some properties of generalized(m,n)-hyperrings,n-ary(strongly) regular relations.By using the homomorphisms between generalized(m,n)hyeprrings and regular relations and strongly regular relations,we obtain the invariance of(m,n)-subhyperrings and(m,n)-hyperideals,the quotient structures of(m,n)-hyperrings,and the necessary and suffcient conditions for the constitution of(m,n)-quotient hyperrings and(m,n)-quotient rings,which extend some corresponding results in 5]. |
| |
| Keywords: | (m n)-hyperring (m n)-hyperideal strongly homomorphism n-ary regular relation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
