Multilinear equations in free inverse monoids

被引:1
作者
Deis, Timothy Michael [1 ]
机构
[1] Univ Wisconsin, Dept Math, Platteville, WI 53818 USA
关键词
D O I
10.1007/s00233-006-0625-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that finding solutions to the class of single multilinear equations in FIM(A) is decidable; while finding solutions to the class of systems of multilinear equations in FIM(A) is undecidable.
引用
收藏
页码:194 / 206
页数:13
相关论文
共 18 条
[1]  
BRITTON JL, 1979, MATH PROC CAMBRIDGE, V86, P385, DOI 10.1017/S0305004100056218
[2]  
Clifford A., 1961, MATH SURVEYS, VII
[3]  
Clifford A. H., 1961, MATH SURVEYS, V1
[4]  
HMELEVSKII JI, 1971, P STEKLOV I MATH, V107, P1
[5]  
Howie J., 1976, An introduction to semigroup theory
[6]  
Lawson MV, 1998, INVERSE SEMIGROUPS T, DOI DOI 10.1142/3645
[7]  
Lyndon R. C., 1977, Combinatorial group theory, V89
[8]  
MAKANIN GS, 1983, MATH USSR IZV, V21, P483
[9]  
MATIYASE.YV, 1970, DOKL AKAD NAUK SSSR+, V191, P279
[10]   A FIELD GUIDE TO EQUATIONAL LOGIC [J].
MCNULTY, GF .
JOURNAL OF SYMBOLIC COMPUTATION, 1992, 14 (04) :371-397