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- W2918419783 abstract "Let $X_{n}$ be a finite set, $CT_{n}$ the semigroup of full contraction and $OCT_{n}$ order-preserving full contraction transformation semigroup of a finite set. In this paper the Local and global U-depth as well as the status of $OCT_{n}$ were investigated where U is the generating set. The local and global depth were found from the known generating Set of $OCT_{n}$ and also, the status of the semigroup $OCT_{n}$ was obtained from the product of global depth and the order of generating of $OCT_{n}$. For $alphain OCT_{n}$, local depth of α is equal to its defect, global depth and status of $OCT_{n}$ are $ n-1$ and $2(n-1)^{2}$ respectively. We also look at the structure of Green’s relations of order-preserving full contraction transformation semigroup." @default.
- W2918419783 created "2019-03-11" @default.
- W2918419783 date "2019-01-01" @default.
- W2918419783 modified "2023-09-26" @default.
- W2918419783 title "Some algebraic properties of order-preserving full contraction transformation semigroup" @default.
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- W2918419783 doi "https://doi.org/10.28919/jsta/3931" @default.
- W2918419783 hasPublicationYear "2019" @default.
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