Idempotent conjugacy in monoids

被引：0
|
作者：
Putcha, Mohan S. [1 ]
机构：
[1] North Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 USA
来源：
SEMIGROUP FORUM | 2017年 / 95卷 / 02期
关键词：
Idemotent conjugacy; Parabolic subgroups; Graham blocks; LIE TYPE; SEMIGROUPS; REPRESENTATIONS; DECOMPOSITION;
D O I：
10.1007/s00233-016-9818-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We continue the study of the local structure of monoids in which I-related idempotents are conjugate. For a regular I-class J, its Graham blocks of idempotents are determined in terms of the associated parabolic subgroups, and then necessary and sufficient conditions are found for J to be generated by its idempotents. We further introduce a generalization to include the full transformation semigroup. The local monoids and the Graham blocks are again determined.
引用
收藏
页码：366 / 378
页数：13
相关论文
共 50 条
  • [21] Conical residuated lattice-ordered idempotent monoids
    Chen, Wei
    Zhao, Xianzhong
    Guo, Xiaojiang
    SEMIGROUP FORUM, 2009, 79 (02) : 244 - 278
  • [22] Conical residuated lattice-ordered idempotent monoids
    Wei Chen
    Xianzhong Zhao
    Xiaojiang Guo
    Semigroup Forum, 2009, 79 : 244 - 278
  • [23] Idempotent rank in endomorphism monoids of finite independence algebras
    Gray, R.
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 303 - 331
  • [24] Idempotent-conjugate monoids with nilpotent unit groups
    Putcha, MS
    SEMIGROUP FORUM, 2006, 72 (02) : 329 - 336
  • [25] Equations Over Free Inverse Monoids with Idempotent Variables
    Diekert, Volker
    Martin, Florent
    Senizergues, Geraud
    Silva, Pedro V.
    THEORY OF COMPUTING SYSTEMS, 2017, 61 (02) : 494 - 520
  • [26] Equations Over Free Inverse Monoids with Idempotent Variables
    Volker Diekert
    Florent Martin
    Géraud Sénizergues
    Pedro V. Silva
    Theory of Computing Systems, 2017, 61 : 494 - 520
  • [27] Grobner-Shirshov Bases for Free Idempotent Monoids
    Ul Zaman, Baddi
    Chen, Yuqun
    Yang, Mingmei
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2021, 45 (05) : 759 - 774
  • [28] Idempotent-Conjugate Monoids with Nilpotent Unit Groups
    Mohan S. Putcha
    Semigroup Forum, 2006, 72 : 329 - 336
  • [29] On square-increasing ordered monoids and idempotent semirings
    Rostislav Horčík
    Semigroup Forum, 2017, 94 : 297 - 313
  • [30] The Knuth-Bendix algorithm and the conjugacy problem in monoids
    Fabienne Chouraqui
    Semigroup Forum, 2011, 82 : 181 - 196
12345