Green's relations
In mathematics, Green's relations are five equivalence relations that characterise the elements of a semigroup in terms of the principal ideals they generate. The relations are named for James Alexander Green, who introduced them in a paper of 1951. John Mackintosh Howie, a prominent semigroup theorist, described this work as "so all-pervading that, on encountering a new semigroup, almost the first question one asks is 'What are the Green relations like?'" (Howie 2002). The relations are useful for understanding the nature of divisibility in a semigroup; they are also valid for groups, but in this case tell us nothing useful, because groups always have divisibility.
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Green's relations
In mathematics, Green's relations are five equivalence relations that characterise the elements of a semigroup in terms of the principal ideals they generate. The relations are named for James Alexander Green, who introduced them in a paper of 1951. John Mackintosh Howie, a prominent semigroup theorist, described this work as "so all-pervading that, on encountering a new semigroup, almost the first question one asks is 'What are the Green relations like?'" (Howie 2002). The relations are useful for understanding the nature of divisibility in a semigroup; they are also valid for groups, but in this case tell us nothing useful, because groups always have divisibility.
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En mathématiques, les relation ...... un corps que dans un anneau).
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In mathematics, Green's relati ...... d ideal generated by a: , or .
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Relacje Greena – pięć relacji ...... Jamesa A. Greena w 1951 roku.
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En mathématiques, les relation ...... ble dans un groupe (de manière
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In mathematics, Green's relati ...... oups always have divisibility.
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Relacje Greena – pięć relacji ...... Jamesa A. Greena w 1951 roku.
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Green's relations
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Relacje Greena
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Relations de Green
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