On additively or multiplicatively idempotent semirings and partial orders

1988 ◽  
pp. 154-161
Author(s):  
U. Hebisch ◽  
L. C. A. van Leeuwen
Keyword(s):  
Partial Orders ◽  
Idempotent Semirings ◽  
Multiplicatively Idempotent

scholarly journals Multiplicatively idempotent semirings

2015 ◽  
Vol 140 (1) ◽  
pp. 35-42 ◽  
Author(s):  
Ivan Chajda ◽  
Helmut Länger ◽  
Filip Švrček
Keyword(s):  
Idempotent Semirings ◽  
Multiplicatively Idempotent

scholarly journals On a variety of commutative multiplicatively idempotent semirings

2016 ◽  
Vol 94 (3) ◽  
pp. 610-617 ◽  
Author(s):  
Ivan Chajda ◽  
Helmut Länger
Keyword(s):  
Idempotent Semirings ◽  
Multiplicatively Idempotent

Multiplicatively Idempotent Semirings

2015 ◽  
Vol 206 (6) ◽  
pp. 634-653 ◽  
Author(s):  
E. M. Vechtomov ◽  
A. A. Petrov
Keyword(s):  
Idempotent Semirings ◽  
Multiplicatively Idempotent

THE NATURAL PARTIAL ORDER ON LINEAR SEMIGROUPS WITH NULLITY AND CO-RANK BOUNDED BELOW

2014 ◽  
Vol 91 (1) ◽  
pp. 104-115 ◽  
Author(s):  
SUREEPORN CHAOPRAKNOI ◽  
TEERAPHONG PHONGPATTANACHAROEN ◽  
PONGSAN PRAKITSRI
Keyword(s):  
Semigroup Forum ◽  
Partial Order ◽  
Lower Bounds ◽  
Partial Orders ◽  
Natural Partial Order ◽  
Linear Transformations ◽  
Bounded Below

AbstractHiggins [‘The Mitsch order on a semigroup’, Semigroup Forum 49 (1994), 261–266] showed that the natural partial orders on a semigroup and its regular subsemigroups coincide. This is why we are interested in the study of the natural partial order on nonregular semigroups. Of particular interest are the nonregular semigroups of linear transformations with lower bounds on the nullity or the co-rank. In this paper, we determine when they exist, characterise the natural partial order on these nonregular semigroups and consider questions of compatibility, minimality and maximality. In addition, we provide many examples associated with our results.

Modeling country risk ratings using partial orders

2006 ◽  
Vol 175 (2) ◽  
pp. 836-859 ◽  
Author(s):  
P.L. Hammer ◽  
A. Kogan ◽  
M.A. Lejeune
Keyword(s):  
Country Risk ◽  
Partial Orders
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