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Translations for „monoid“ in the English » Polish Dictionary

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Monolingual examples (not verified by PONS Editors)

English
In a monoid, the notion of inverse as defined in the previous section is strictly narrower than the definition given in this section.
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However, a non-commutative cancellative monoid need not be embeddable in a group.
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This means that the cancellative elements of any commutative monoid can be extended to a group.
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But the monoid structure of the sphere sequence is not commutative due to different orderings of the coordinates.
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Only bijections have two-sided inverses, but "any" function has a quasi-inverse, i.e. the full transformation monoid is regular.
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