Advances in the Theory of Varieties of Semigroups
This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may...
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| Müşterek Yazar: | |
| Materyal Türü: | Elektronik Ekitap |
| Dil: | İngilizce |
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Cham :
Springer International Publishing : Imprint: Birkhäuser,
2023.
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| Edisyon: | 1st ed. 2023. |
| Seri Bilgileri: | Frontiers in Mathematics,
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| Konular: | |
| Online Erişim: | https://doi.org/10.1007/978-3-031-16497-2 |
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İçindekiler:
- Historical overview and main results
- Preliminaries. Part I - Semigroups
- Aperiodic Rees-Suschkewitsch varieties
- A problem of Pollak and Volkov on hereditarily finitely based identities
- Sufficient conditions for the non-finite basis property
- Semigroups without irredundant identity bases
- Part II - Involution Semigroups
- Involution semigroups with infinite irredundant identity bases
- Finitely based involution semigroups with non-finitely based reducts
- Counterintuitive examples of involution semigroups
- Equational theories of twisted involution semigroups
- Part III - Monoids
- Hereditarily finitely based varieties of monoids
- Varieties of aperiodic monoids with central idempotents
- Certain Cross varieties of aperiodic monoids with commuting idempotents
- Counterintuitive examples of monoids.