Regular algebraic monoids

2001 ◽  
Vol 63 (2) ◽  
pp. 107-113 ◽  
Author(s):  
Lex E. Renner
Keyword(s):  
Algebraic Monoids

scholarly journals NILPOTENT ALGEBRAIC MONOIDS

1996 ◽  
Vol 179 (3) ◽  
pp. 720-731 ◽  
Author(s):  
Wenxue Huang
Keyword(s):  
Algebraic Monoids

Algebraic monoids with a dense group of units

1984 ◽  
Vol 28 (1) ◽  
pp. 365-370 ◽  
Author(s):  
Mohan S. Putcha
Keyword(s):  
Group Of Units ◽  
Dense Group ◽  
Algebraic Monoids

CARTAN SUBMONOIDS OF ALGEBRAIC MONOIDS

1995 ◽  
Vol 05 (03) ◽  
pp. 367-377 ◽  
Author(s):  
WENXUE HUANG
Keyword(s):  
Maximal Torus ◽  
Unit Group ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
Completely Regular ◽  
Algebraic Monoid ◽  
Algebraic Monoids

Let M be an irreducible linear algebraic monoid defined over an algebraically closed field K with idempotent set E(M), T a maximal torus of the unit group G of M. We call CM(T)c a Cartan submonoid of M. The following are proved: (1) If M is reductive with zero or completely regular, then CM(T) is irreducible and regular and [Formula: see text]; (2) If M is regular, then M is solvable iff NM(CM(T))=CM(T), in which case, CM(T) is irreducible and regular; (3) If M is regular, then [Formula: see text].

Determinant functions on algebraic monoids

1983 ◽  
Vol 11 (7) ◽  
pp. 695-710 ◽  
Author(s):  
Mohan S. Putcha
Keyword(s):  
Algebraic Monoids
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