1
Department of Mathematics, Faculty of Sciences, Shahed University
2
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan
10.22034/kjm.2022.295836.2328
Abstract
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 $S$.
Hosseini, H., & Akbari Tootkaboni, M. (2022). Description of $J$-sets and $C$-sets by matrices. Khayyam Journal of Mathematics, 8(2), 174-177. doi: 10.22034/kjm.2022.295836.2328
MLA
Hedieh Hosseini; Mohammad Akbari Tootkaboni. "Description of $J$-sets and $C$-sets by matrices". Khayyam Journal of Mathematics, 8, 2, 2022, 174-177. doi: 10.22034/kjm.2022.295836.2328
HARVARD
Hosseini, H., Akbari Tootkaboni, M. (2022). 'Description of $J$-sets and $C$-sets by matrices', Khayyam Journal of Mathematics, 8(2), pp. 174-177. doi: 10.22034/kjm.2022.295836.2328
VANCOUVER
Hosseini, H., Akbari Tootkaboni, M. Description of $J$-sets and $C$-sets by matrices. Khayyam Journal of Mathematics, 2022; 8(2): 174-177. doi: 10.22034/kjm.2022.295836.2328