Dominions and closed varieties of bands

Authors : Shabnam Abbas, Wajih Ashraf, Noor Mohammad Khan

Pages : 382-391

Doi:10.15672/hujms.1217130

View : 105 | Download : 158

Publication Date : 2024-04-23

Article Type : Research Paper

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