|
|
- 2016
N(2,2,0)代数的内正则半群
|
Abstract:
摘要： 讨论了N(2,2,0)代数的半群内正则性,给出了两个特殊集合P(a),H(a)以及左零元的特征,并以实例解释了相关结论。刻画了N(2,2,0)代数的半群的左零元与正则元、内正则元的关系。
Abstract: Some description about intra-regularity of semigroups of N(2,2,0)algebra is given. Some properties about two special sets P(a), H(a) and left(right)nil element of semigroups of N(2,2,0)algebra are discussed. It is provided that a relationships between left(right)nil element and regular element and intra-regular element
| [1] | 陈露.关于<i>N</i>(2,2,0)代数的中间幂等元[J].纯粹数学与应用数学,2011,27(4):433-436. CHEN Lu. Medial idempotents of <i>N</i>(2,2,0)algebra[J]. Pure and Applied Mathematics, 2011, 27(4):433-436. |
| [2] | 邓方安.<i>N</i>(2,2,0)代数的RC-半群[J].山东大学学报(理学版),2011,46(6):8-11. DENG Fang-an. RC-semigroups of <i>N</i>(2,2,0)algebra[J]. Journal of Shandong University(Natural Science), 2011, 46(1):8-11. |
| [3] | 邓方安.<i>N</i>(2,2,0)代数的E-反演半群[J].数学杂志,2014, 34(5):977-984. DENG Fang-an. E-inversive semigroups of <i>N</i>(2,2,0)algebra[J]. Journal of Mathematics, 2014, 34(5):977-984. |
| [4] | 李旭东. <i>N</i>(2,2,0)代数的稳定化子[J].山东大学学报(理学版), 2011,46(8):68-72. LI Xudong. Stabilizer of <i>N</i>(2,2,0)algebras[J]. Journal of Shandong University(Natural Science), 2011,46(8):68-72. |
| [5] | 张建忠,傅小波,廖祖华.<i>N(</i>2<i>,</i>2<i>,</i>0<i>)</i>代数的<i>(∈, ∈∨q<sub>(λ, μ)</sub>)</i>-模糊正关联理想[J].计算机科学与探索,2014,8(5):622-629. ZHANG Jianzhong, FU Xiaobo, LIAO Zuhua. <i>(∈, ∈∨q<sub>(λ, μ)</sub>)</i>-Fuzzy positive implicative ideal of <i>N</i>(2,2,0)algebras[J]. Journal of Frontiers of Computer Science and Technology, 2014, 8(5):622-629. |
| [6] | 张建忠,傅小波,廖祖华.<i>N(</i>2<i>,</i>2<i>,</i>0<i>)</i>代数的<i>(∈, ∈∨q<sub>(λ, μ)</sub>)</i>-模糊理想[J].计算机科学与探索, 2013,7(11):1048-1056. ZHANG Jianzhong, FU Xiaobo, LIAO Zuhua. <i>(∈, ∈∨q<sub>(λ, μ)</sub>)</i>-Fuzzy Ideal of <i>N</i>(2,2,0)algebras[J]. Journal of Frontiers of Computer Science and Technology, 2013, 7(11):1048-1056. |
| [7] | 傅小波,廖祖华.<i>N(</i>2<i>,</i>2<i>,</i>0<i>)</i>代数的<i>(∈<sup>δ</sup>, ∈<sup>δ</sup>∨q<sup>δ</sup><sub>(λ, μ)</sub>)</i>-模糊理想[J].计算机科学与探索,2016,10(3):1-9. FU Xiaobo, LIAO Zuhua. <i>(∈<sup>δ</sup>, ∈<sup>δ</sup>∨q<sup>δ</sup><sub>(λ, μ)</sub>)</i>-Fuzzy Ideals of <i>N</i>(2,2,0)algebras[J]. Journal of Frontiers of Computer Science and Technology, 2016, 10(3):1-9. |
| [8] | NAGY A. Regular RGC<sub><i></i></sub><i>n</i>-commutative semigroups[J]. Scientia Iranica, 2005, 12(1):10-13. |
| [9] | 邓方安,徐扬.关于<i>N</i>(2,2,0)代数[J].西南交通大学学报,1996,31(4):457-463. DENG Fang-an, XU Yang. On <i>N</i>(2,2,0)algebras[J]. Journal of Southwest Jiaotong University, 1996, 31(4):457-463. |
| [10] | 陈露.关于<i>N</i>(2,2,0)代数的中间单位[J].黑龙江大学自然科学学报,2014,31(3):287-290. CHEN Lu. On middle units in <i>N</i>(2,2,0)algebra[J]. Journal of Natural Science of Heilongjiang University, 2014, 31(3):287-290. |
| [11] | 邓方安,徐扬,袁俭.<i>N</i>(2,2,0)代数的理想与关联理想[J].汉中师范学院学报,1998,16(1):6-9. DENG Fang-an, XU Yang, YUAN Jian. Ideal and relevant ideal of <i>N</i>(2,2,0)algebra[J]. Journal of Hanzhong Teachers College, 1998, 16(1): 6-9. |
| [12] | 邓方安,雍龙泉. <i>N</i>(2,2,0)代数的正则半群[J].数学进展,2012, 41(6): 665-671. DENG Fang-an, YONG Longquan. Regular semigroups of <i>N</i>(2,2,0)algebra[J]. Advances in Mathematics, 2012, 41(6):665-671. |
