If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S.
Source: wiktionary
Semigroup
Synonyms for "semigroup"
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5 entriesTranslations
11 translations across 11 languages.
Chinese Mandarin
1 entries- 半群 noun (set for which a closed associative binary operation is defined)
Czech
1 entries- pologrupa noun (set for which a closed associative binary operation is defined)
Finnish
1 entries- puoliryhmä noun (set for which a closed associative binary operation is defined)
German
1 entries- Halbgruppe noun (set for which a closed associative binary operation is defined)
Icelandic
1 entries- hálfgrúpa noun (set for which a closed associative binary operation is defined)
Italian
1 entries- semigruppo noun (set for which a closed associative binary operation is defined)
Polish
1 entries- półgrupa noun (set for which a closed associative binary operation is defined)
Portuguese
1 entries- semigrupo noun (set for which a closed associative binary operation is defined)
Romanian
1 entries- semigrup noun (set for which a closed associative binary operation is defined)
Slovak
1 entries- pologrupa noun (set for which a closed associative binary operation is defined)
Swedish
1 entries- semigrupp noun (set for which a closed associative binary operation is defined)
Sample sentences
3 total sentences available.
1988, A. Ya Aǐzenshtat, Boris M. Schein (translator), On Ideals of Semigroups of Endomorphisms, Ben Silver (editor), Nineteen Papers on Algebraic Semigroups, American Mathematical Society Translations, Series 2, Volume 139, page 11, It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups.
Source: wiktionary
If one considers the variety of semigroups, one has the binary operation of multiplication defined on every semigroup.
Source: wiktionary
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.