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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Birkhäuser
[2023]
Cham Springer Nature |
| Ausgabe: | 1st ed. 2023 |
| Schriftenreihe: | Frontiers in Mathematics
|
| Schlagworte: | |
| Zusammenfassung: | 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 otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this marc:subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups |
| Beschreibung: | 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 |
| Beschreibung: | xv, 287 S. 518 grams |
| ISBN: | 9783031164965 |
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| 520 | |a 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 otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this marc:subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups | ||
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Datensatz im Suchindex
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| id | DE-604.BV048967367 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:01:57Z |
| indexdate | 2024-07-10T09:51:31Z |
| institution | BVB |
| isbn | 9783031164965 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034231048 |
| oclc_num | 1389183214 |
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| owner_facet | DE-29T |
| physical | xv, 287 S. 518 grams |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Birkhäuser Springer Nature |
| record_format | marc |
| series2 | Frontiers in Mathematics |
| spelling | Lee, Edmond W. H. 1973- Verfasser (DE-588)1013187024 aut Advances in the theory of varieties of semigroups Edmond W. H. Lee 1st ed. 2023 Cham Birkhäuser [2023] Cham Springer Nature xv, 287 S. 518 grams txt rdacontent n rdamedia nc rdacarrier Frontiers in Mathematics 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 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 otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this marc:subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups Algebra Group theory Hardcover, Softcover / Mathematik/Arithmetik, Algebra Erscheint auch als Online-Ausgabe 978-3-031-16497-2 |
| spellingShingle | Lee, Edmond W. H. 1973- Advances in the theory of varieties of semigroups Algebra Group theory |
| title | Advances in the theory of varieties of semigroups |
| title_auth | Advances in the theory of varieties of semigroups |
| title_exact_search | Advances in the theory of varieties of semigroups |
| title_exact_search_txtP | Advances in the theory of varieties of semigroups |
| title_full | Advances in the theory of varieties of semigroups Edmond W. H. Lee |
| title_fullStr | Advances in the theory of varieties of semigroups Edmond W. H. Lee |
| title_full_unstemmed | Advances in the theory of varieties of semigroups Edmond W. H. Lee |
| title_short | Advances in the theory of varieties of semigroups |
| title_sort | advances in the theory of varieties of semigroups |
| topic | Algebra Group theory |
| topic_facet | Algebra Group theory |
| work_keys_str_mv | AT leeedmondwh advancesinthetheoryofvarietiesofsemigroups |