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Varieties Generated by Ordered Bands I
Authors:S?Ghosh  Email author" target="_blank">F?PastijnEmail author  X?Z?Zhao
Institution:(1) Department of Mathematics, Jadavpur University, Kolkata, 700032, India;(2) Department of Mathematics, Statistics, and Computer Science, Marquette University, P.O. Box 1881, Milwaukee,, WI 53201-1881, USA;(3) Department of Mathematics, Northwest University, Shaanxi Xi’an, 710069, PR China
Abstract:Ordered bands are regarded as semirings whose multiplicative reduct is a band and whose additive reduct is a chain. We find the variety of semirings generated by all ordered bands and we determine part of the lattice of its subvarieties.
Keywords:16Y60  08B05  20M07
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