Epimorphisms, dominions and $$\mathcal {H}$$-commutative semigroups
| العنوان: | Epimorphisms, dominions and $$\mathcal {H}$$-commutative semigroups |
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| المؤلفون: | Peter M. Higgins, Noor Alam, Noor Mohammad Khan |
| المصدر: | Semigroup Forum. 100:349-363 |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Pure mathematics, Algebra and Number Theory, Series (mathematics), Mathematics::Operator Algebras, 010201 computation theory & mathematics, Semigroup, 010102 general mathematics, 0102 computer and information sciences, 0101 mathematics, Algebra over a field, 01 natural sciences, Commutative property, Mathematics |
| الوصف: | In the present paper, a series of results and examples that explore the structural features of $$\mathcal {H}$$-commutative semigroups are provided. We also generalize a result of Isbell from commutative semigroups to $$\mathcal {H}$$-commutative semigroups by showing that the dominion of an $$\mathcal {H}$$-commutative semigroup is $$\mathcal {H}$$-commutative. We then use this to generalize Howie and Isbell’s result that any $$\mathcal {H}$$-commutative semigroup satisfying the minimum condition on principal ideals is saturated. |
| تدمد: | 1432-2137 0037-1912 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::1247b5509aa51abdb7c41681f1b5bc2c https://doi.org/10.1007/s00233-019-10050-z |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi...........1247b5509aa51abdb7c41681f1b5bc2c |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 14322137 00371912 |
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