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RESEARCH PRODUCT

An Elementary Proof of a Theorem of Graham on Finite Semigroups

V. Pérez-calabuigAdolfo Ballester-bolinches

subject

Pure mathematicsGeneral Mathematicslcsh:Mathematics0-simple semigroupElementary proofMathematics::Rings and AlgebrasComputer Science (miscellaneous)finite semigroupRegular semigrouplcsh:QA1-939Engineering (miscellaneous)Mathematicsregular semigroup

description

The purpose of this note is to give a very elementary proof of a theorem of Graham that provides a structural description of finite 0-simple semigroups and its idempotent-generated subsemigroups.

10.3390/math8010105http://dx.doi.org/10.3390/math8010105