密码rpp半群的若干特征
|
摘要
密码rpp半群是关系H为同余的强rpp半群,这类半群是密码群在rpp半群理论中的推广.该文给出了这类半群的一些新特征.
Cryptic rpp semigroups are defined as strongly rpp semigroups in which H is a congruence. This kind of such semigroups is a generalization of cryptogroups in the range of rpp semigroups. Some new characterizations are obtained.
Cryptic rpp semigroups are defined as strongly rpp semigroups in which H is a congruence. This kind of such semigroups is a generalization of cryptogroups in the range of rpp semigroups. Some new characterizations are obtained.
引文
[1] Fountain J B. Abundant semigroups[J]. Proc London Math Soc,1982,44(1):103-129.
[2]Guo Yuqi,Shum K P,Zhu Pinyu. The structure of left C-rpp semigroups[J]. Semigroup Forum,1995,50(1):9-23.
[3]Guo Xiaojiang,Guo Yuqi,Shum K P. Super rpp semigroup[J]. Indian J Pure Appl Math,2010,41(3):505-533.
[4] Guo Junying,Guo Xiaojiang,Ding Juanying. Completely simple semigroups[J]. Advances in Mathematics,2015,44(5):710-718.
[5] Guo Junying,Guo Xiaojiang,Ding Juanying. Free completely simple semigroups[J]. Acta Mathematica Sinica:Engl Ser,2015,31(7):1086-1096.
[6]吴瑕,郭小江,邱小伟.纯正超rpp半群[J].理论数学,2013,3(2):112-119.
[7] Petrich M,Reilly N R. Completely regular semigroups[M]. New York:John Wiley Sons,1999.
[8] Guo Xiaojiang,Yang Yanping. Cryptic rpp semigroups[J]. Advances in Mathematics,2013,42(4):465-474.
[9]Yang Yanping,Guo Xiaojiang. Orthocryptic rpp semigroups[J]. Int Math Forum,2009,42(4):2065-2074.
[10]邱小伟.自然偏序和超rpp半群[D].南昌:江西师范大学,2013.
[11]郭俊颖,郭小江,叶火平.正规密码rpp半群上的同余[J].江西师范大学学报:自然科学版,2017,41(4):360-366.
[12] Howie J M. An introduction to semigroup theory[M].London:Academic Press,1976.
[13]Guo Xiaojiang,Guo Yuqi,Shum K P. Rees matrix theorem for simple strongly rpp semigroups[J]. Asian-European J Math,2008,1(2):215-223.
[14]叶火平,郭俊颖,郭小江.超Rpp半群的核心[J].理论数学,2016,6(3):172-176.
[15]Lawson M V. The natural partial orders on abundant semigroups[J]. Proc Edinburgh Math Soc,1987,30(2):169-186.
[16]Guo Xiaojiang,Li Xiaoping,Shum K P. F-rpp semigroups[J]. Intern Math Forum,2006,1(32):1571-1585.
[17]Guo Xiaojiang,Shum K P. The Lawson order on rpp semigroups[J]. Intern J Pure Appl Math,2006,29(3):413-421.
[18]Qiu Xiaowei,Guo Xiaojiang,Shum K P. Strongly rpp semigroups endowed with some natural partial orders[J]. J Semigroup Theory Appl,2013,2013:Article ID 7.
[19] Petrich M. Lectures in semigroups[M]. Berlin:Akedemic-Verlag,1977.
[2]Guo Yuqi,Shum K P,Zhu Pinyu. The structure of left C-rpp semigroups[J]. Semigroup Forum,1995,50(1):9-23.
[3]Guo Xiaojiang,Guo Yuqi,Shum K P. Super rpp semigroup[J]. Indian J Pure Appl Math,2010,41(3):505-533.
[4] Guo Junying,Guo Xiaojiang,Ding Juanying. Completely simple semigroups[J]. Advances in Mathematics,2015,44(5):710-718.
[5] Guo Junying,Guo Xiaojiang,Ding Juanying. Free completely simple semigroups[J]. Acta Mathematica Sinica:Engl Ser,2015,31(7):1086-1096.
[6]吴瑕,郭小江,邱小伟.纯正超rpp半群[J].理论数学,2013,3(2):112-119.
[7] Petrich M,Reilly N R. Completely regular semigroups[M]. New York:John Wiley Sons,1999.
[8] Guo Xiaojiang,Yang Yanping. Cryptic rpp semigroups[J]. Advances in Mathematics,2013,42(4):465-474.
[9]Yang Yanping,Guo Xiaojiang. Orthocryptic rpp semigroups[J]. Int Math Forum,2009,42(4):2065-2074.
[10]邱小伟.自然偏序和超rpp半群[D].南昌:江西师范大学,2013.
[11]郭俊颖,郭小江,叶火平.正规密码rpp半群上的同余[J].江西师范大学学报:自然科学版,2017,41(4):360-366.
[12] Howie J M. An introduction to semigroup theory[M].London:Academic Press,1976.
[13]Guo Xiaojiang,Guo Yuqi,Shum K P. Rees matrix theorem for simple strongly rpp semigroups[J]. Asian-European J Math,2008,1(2):215-223.
[14]叶火平,郭俊颖,郭小江.超Rpp半群的核心[J].理论数学,2016,6(3):172-176.
[15]Lawson M V. The natural partial orders on abundant semigroups[J]. Proc Edinburgh Math Soc,1987,30(2):169-186.
[16]Guo Xiaojiang,Li Xiaoping,Shum K P. F-rpp semigroups[J]. Intern Math Forum,2006,1(32):1571-1585.
[17]Guo Xiaojiang,Shum K P. The Lawson order on rpp semigroups[J]. Intern J Pure Appl Math,2006,29(3):413-421.
[18]Qiu Xiaowei,Guo Xiaojiang,Shum K P. Strongly rpp semigroups endowed with some natural partial orders[J]. J Semigroup Theory Appl,2013,2013:Article ID 7.
[19] Petrich M. Lectures in semigroups[M]. Berlin:Akedemic-Verlag,1977.