In this paper,we discuss some problems about linear equations over commutative additively idempotent semirings.First,when b is additive irreducible element,we give some necessary and sufficient conditions for the linear equation is solvable over additively idempotent semiring and describe the solution set of the linear equation.Secondly,when bi is additive irreducible element,we obtain the solution set of linear equations by the solution set of linear ine-quality equations.
关键词
加法幂等半环/极小解/最大解/解集
Key words
Additively idempotent semirings/Minimal solutions/Greatest solution/Solution set
维普
万方数据