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...

Whakaahuatanga katoa

I tiakina i:
Ngā taipitopito rārangi puna kōrero
Kaituhi matua: Lee, Edmond W. H. (Author)
Kaituhi rangatōpū: SpringerLink (Online service)
Hōputu: Tāhiko īPukapuka
Reo:Ingarihi
I whakaputaina: Cham : Springer International Publishing : Imprint: Birkhäuser, 2023.
Putanga:1st ed. 2023.
Rangatū:Frontiers in Mathematics,
Ngā marau:
Urunga tuihono:https://doi.org/10.1007/978-3-031-16497-2
Ngā Tūtohu: Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!

MARC

LEADER 00000nam a22000005i 4500
001 978-3-031-16497-2
003 DE-He213
005 20260810171103.0
007 cr nn 008mamaa
008 230408s2023 sz | o |||| 0|eng d
020 |a 9783031164972  |9 978-3-031-16497-2 
024 7 |a 10.1007/978-3-031-16497-2  |2 doi 
050 4 |a QA174-183 
072 7 |a PBG  |2 bicssc 
072 7 |a MAT002010  |2 bisacsh 
072 7 |a PBG  |2 thema 
082 0 4 |a 512.2  |2 23 
100 1 |a Lee, Edmond W. H.  |e author.  |0 (orcid)0000-0002-1662-3734  |1 https://orcid.org/0000-0002-1662-3734  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Advances in the Theory of Varieties of Semigroups  |h [electronic resource] /  |c by Edmond W. H. Lee. 
250 |a 1st ed. 2023. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2023. 
300 |a 1 online resource (XV, 287 p. 16 illus.). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Frontiers in Mathematics,  |x 1660-8054 
505 0 |a 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. 
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 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. 
588 |a Print version record. 
650 0 |a Group theory. 
650 0 |a Algebra. 
650 1 4 |a Group Theory and Generalizations. 
650 2 4 |a Order, Lattices, Ordered Algebraic Structures. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783031164965 
776 0 8 |i Printed edition:  |z 9783031164989 
830 0 |a Frontiers in Mathematics,  |x 1660-8054 
856 4 0 |u https://doi.org/10.1007/978-3-031-16497-2 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)