• Title/Summary/Keyword: coextension

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SPLIT MAP AND IDEMPOTENT SEPARATING CONGRUENCE

  • CHANDRASEKARAN V. M.;LOGANATHAN M.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.351-360
    • /
    • 2005
  • Let T be a regular semigroup and let S be a regular subsemigroup of T. In this paper we study the relationship between the idempotent separating congruence on S and the idempotent separating congruence on T, when T and S are connected by a splitmap ${\theta} : T {\to} S$.