Semigroups

Lev N. Shevrin, Peter M. Higgins, Nik Ruškuc, Jorge Almeida, Peter G. Trotter, John M. Howie, Kenneth D. Magill, Jan Okniński, A. J. Ovsyannikov, Mikhail V. Volkov, Karl H. Hofmann and Günter F. Pilz

Chapter Chapter A in The Concise Handbook of Algebra, 2002, pp 1-70 from Springer

Abstract: Abstract Let S be a semigroup. A non-empty subset A of S is called a left [right] ideal if SA ⊆ A [AS ⊆A]. If A is both a left and a right ideal of S, then A is called a two-sided ideal, or simply an ideal. Clearly, S itself is an ideal of S; an ideal (of any kind) which differs from S is called proper.

Keywords: Inverse Semigroup; Regular Semigroup; Simple Semigroup; Semi Group; Rectangular Band (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-017-3267-3_1

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