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The construction of orthodox super rpp semigroups
Authors:Yong?He  author-information"  >  author-information__contact u-icon-before"  >  mailto:ynghe@.net"   title="  ynghe@.net"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Yuqi?Guo,Shum Kar?Ping
Affiliation:1. School of Computer Science, Hunan University of Science & Technology, Xiangtan 411201, China;Department of Mathematics, Southwest Normal University, Chongqing 400715, China;Department of Mathematics, Soochow University, Suzhou 215000, China
2. Department of Mathematics, Southwest Normal University, Chongqing 400715, China
3. Faculty of Science, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong, China
Abstract:We define orthodox super rpp semigroups and study their semilattice decompositions. Standard representation theorem of orthodox super rpp semigroups whose sub-band of idempotents is in the varieties of bands described by an identity with at most three variables are obtained.
Keywords:orthodox super rpp semigroup   band-like extension   left cancellative plank   semilattice decomposition   standard representation.
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