Noncommutative lattices : skew lattices, skew Boolean algebras and beyond

Leech, Jonathan

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Title:	Noncommutative lattices : skew lattices, skew Boolean algebras and beyond
Authors:	ID Leech, Jonathan (Author)
Files:	RAZ_Leech_Jonathan_i2020.pdf (5,98 MB) MD5: AE6F432720871CB5928ABE66832D7F3F
Language:	English
Work type:	Unknown
Organization:	ZUP - University of Primorska Press
Abstract:	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.
Keywords:	Noncommutative Lattices, Skew Lattices, Skew Boolean Algebras
Place of publishing:	Koper
Place of performance:	Koper
Publisher:	Založba Univerze na Primorskem, = University of Primorska Press
Year of publishing:	2020
Year of performance:	2020
Number of pages:	1 spletni vir (1 datoteka PDF (284 str.))
PID:	20.500.12556/RUP-17209
ISBN:	978-961-293-027-1
UDC:	512.56(0.034.2)
DOI:	10.26493/978-961-293-027-1
COBISS.SI-ID:	35005187
Publication date in RUP:	07.11.2021
Views:	1363
Downloads:	22
Metadata:
:	LEECH, Jonathan, 2020, Noncommutative lattices : skew lattices, skew Boolean algebras and beyond [online]. 2020. Koper : Založba Univerze na Primorskem, = University of Primorska Press. [Accessed 3 April 2025]. ISBN 978-961-293-027-1. Retrieved from: https://repozitorij.upr.si/IzpisGradiva.php?lang=eng&id=17209 Copy citation