- Hacettepe Journal of Mathematics and Statistics
- Cilt: 53 Sayı: 2
- Dominions and closed varieties of bands
Dominions and closed varieties of bands
Authors : Shabnam Abbas, Wajih Ashraf, Noor Mohammad Khan
Pages : 382-391
Doi:10.15672/hujms.1217130
View : 87 | Download : 152
Publication Date : 2024-04-23
Article Type : Research
Abstract :We show that all subvarieties of the variety of rectangular bands are closed in the variety of $n$-nilpotent extension of bands. Ahanger, Nabi and Shah in [1] have proved that the variety of regular bands is closed. In this paper, we improve this result and provide its simple and shorter proof. Finally, we show that all subvarieties of the variety of normal bands are closed in the variety of left [right] semiregular bands.Keywords : identity, varieties, zigzag equations, dominion, bands, rectangular, normal, regular, left semiregular