|本期目录/Table of Contents|

[1]王爱法,王丽丽*.Ai-半环簇自由对象模型的刻画[J].厦门大学学报(自然科学版),2018,57(05):672-675.[doi:10.6043/j.issn.0438-0479.201801018]
 WANG Aifa,WANG Lili*.A Characterization of Free Object Models of Ai-semiring Varieties[J].Journal of Xiamen University(Natural Science),2018,57(05):672-675.[doi:10.6043/j.issn.0438-0479.201801018]
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《厦门大学学报(自然科学版)》[ISSN:0438-0479/CN:35-1070/N]

卷:
57卷
期数:
2018年05期
页码:
672-675
栏目:
研究论文
出版日期:
2018-09-27

文章信息/Info

Title:
A Characterization of Free Object Models of Ai-semiring Varieties
文章编号:
0438-0479(2018)05-0672-04
作者:
王爱法12王丽丽2*
1. 西北大学数学学院,陕西 西安 710127; 2. 重庆理工大学理学院,重庆 400054
Author(s):
WANG Aifa12WANG Lili2*
1.School of Mathematics,Northwest University,Xi’an 710127,China; 2.School of Science,Chongqing University of Technology,Chongqing 400054,China
关键词:
ai-半环(m21)-闭子集 自由对象
Keywords:
variety ai-semiring(m21)-closed subset free ai-semiring
分类号:
O 153.3
DOI:
10.6043/j.issn.0438-0479.201801018
文献标志码:
A
摘要:
通过引入半群的(m,2,1)-闭子集的概念,利用由等式(x1x2…xm)2≈x1x2…xm确定的半群簇Sg(m,2,1)的自由对象构造了Sr(m,2,1)的自由对象.
Abstract:
The notion of(m,2,1)-closed subset of a semigroup is introduced and a model of free objects in the ai-semiring variety determined by (x1x2…xm)2≈x1x2…xm is given by using these free objects in the semigroup variety determined by (x1x2…xm)2≈x1x2…xm.Therefore,some results obtained by Zhao,Kuril and Polk are generalized.

参考文献/References:

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[10] REN M M,ZHAO X Z.The variety of semilattice-ordered semigroups satisfying x3≈x and xy≈yx[J].Period Math Hung,2016,72:158-170.
[11] REN M M,ZHAO X Z,WANG A F.On the varieties of ai-semirings satisfying x3≈x[J].Algebra Universalis,2017,77:395-408.
[12] WANG A F,SHAO Y.On a semiring variety satisfying xn≈x[J].Publ Math Debrecen,2018,93(1/2):73-86.

备注/Memo

备注/Memo:
收稿日期:2018-01-18 录用日期:2018-05-23
基金项目:国家自然科学基金(11571278,11701449); 重庆市教委科学技术研究项目(KJ1600930)
*通信作者:wllaf@163.com
引文格式:王爱法,王丽丽.ai-半环簇自由对象模型的刻画[J].厦门大学学报(自然科学版),2018,57(5):672-675.
Citation:WANG A F,WANG L L.A characterization of free object models of ai-semiring varieties[J]. J Xiamen Univ Nat Sci,2018,57(5):672-675.(in Chinese)
更新日期/Last Update: 1900-01-01