Description of $J$-sets and $C$-sets by matrices

[摘要] We redefine the notion of $J$-sets in a commutative semigroup $S$ with the help of matrices whose entries are functions from the natural numbers into $S$. We show that our definition of $J$-sets is equivalent to the standard definition of $J$-sets. We also introduce a new notion of $C$-set using matrices whose entries are functions from the natural numbers into $S$.

[学科分类] 公共、环境与职业健康

[关键词] $J$-set;$C$-set