Automorphisms of the endomorphism semigroup of a free inverse semigroup

被引:13
作者
Mashevitzky, G.
Schein, Boris M.
Zhitomirski, Grigori I.
机构
[1] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA
[2] Ben Gurion Univ Negev, Dept Math, Beer Sheva, Israel
[3] Bar Ilan Univ, Dept Math & Stat, Ramat Gan, Israel
关键词
automorphism; endomorphism; free inverse semigroup;
D O I
10.1080/00927870600850610
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that automorphisms of the endomorphism semigroup of a free inverse semigroup are inner and determine all isomorphisms between the endomorphism semigroups of free inverse semigroups.
引用
收藏
页码:3569 / 3584
页数:16
相关论文
共 10 条
[1]   A question of B. Plotkin about the semigroup of endomorphisms of a free group [J].
Formanek, E .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (04) :935-937
[2]  
Gluskin L.M., 1957, MAT SB, V41, P23
[3]   Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup [J].
Mashevitzky, G ;
Schein, BM .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (06) :1655-1660
[4]  
PLOTKIN B, 2000, 7 LECT UNIVERSAL ALG
[5]  
POLYAKOVA O, 2005, NEW CONSTRUCTION FRE, V288, P20
[6]  
SAIN BM, 1963, SOV MATH DOKL, V4, P1680
[7]  
SCHEIN BM, 1970, FUND MATH, V68, P31, DOI DOI 10.4064/FM-68-1-31-50
[8]  
SCHREIER J, 1936, FUND MATH, V28, P261
[9]  
SHUTOV EG, 1961, IZVESTIYA VYSSH UCHE, V3, P178
[10]  
Ulam S. M., 1960, A Collection of Mathematical Problems