Noncommutative lattices : skew lattices, skew Boolean algebras and beyond

Leech, Jonathan

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Naslov:	Noncommutative lattices : skew lattices, skew Boolean algebras and beyond
Avtorji:	ID Leech, Jonathan (Avtor)
Datoteke:	RAZ_Leech_Jonathan_i2020.pdf (5,98 MB) MD5: AE6F432720871CB5928ABE66832D7F3F
Jezik:	Angleški jezik
Vrsta gradiva:	Neznano
Organizacija:	ZUP - Založba Univerze na Primorskem
Opis:	The extended study of non-commutative lattices was begun in 1949 by Ernst Pascual Jordan, a theoretical and mathematical physicist and co-worker of Max Born and Werner Karl Heisenberg. Jordan introduced noncommutative lattices as algebraic structures potentially suitable to encompass the logic of the quantum world. The modern theory of noncommutative lattices began 40 years later with Jonathan Leech's 1989 paper "Skew lattices in rings." Recently, noncommutative generalizations of lattices and related structures have seen an upsurge in interest, with new ideas and applications emerging, from quasilattices to skew Heyting algebras. Much of this activity is derived in some way from the initiation, over thirty years ago, of Jonathan Leech's program of research that studied noncommutative variations of lattices. The present book consists of seven chapters, mainly covering skew lattices, quasilattices and paralattices, skew lattices of idempotents in rings and skew Boolean algebras. As such, it is the first research monograph covering major results due to the renewed study of noncommutative lattices. It will serve as a valuable graduate textbook on the subject, as well as handy reference to researchers of noncommutative algebras.
Ključne besede:	Noncommutative Lattices, Skew Lattices, Skew Boolean Algebras
Kraj izida:	Koper
Kraj izvedbe:	Koper
Založnik:	Založba Univerze na Primorskem, = University of Primorska Press
Leto izida:	2020
Leto izvedbe:	2020
Št. strani:	1 spletni vir (1 datoteka PDF (284 str.))
PID:	20.500.12556/RUP-17209
UDK:	512.56(0.034.2)
ISBN:	978-961-293-027-1
DOI:	10.26493/978-961-293-027-1
COBISS.SI-ID:	35005187
Datum objave v RUP:	07.11.2021
Število ogledov:	1372
Število prenosov:	22
Metapodatki:
:	LEECH, Jonathan, 2020, Noncommutative lattices : skew lattices, skew Boolean algebras and beyond [na spletu]. 2020. Koper : Založba Univerze na Primorskem, = University of Primorska Press. [Dostopano 5 april 2025]. ISBN 978-961-293-027-1. Pridobljeno s: https://repozitorij.upr.si/IzpisGradiva.php?lang=slv&id=17209 Kopiraj citat