Semigroups and Their Subsemigroup Lattices

Language: English

Published by Springer, Springer Dez 2010, 2010

9048147492 / 9789048147496

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This item is printed on demand - Print on Demand Titel. Neuware -0.1. General remarks. For any algebraic system A, the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter-relationships between systems and their subsystem lattices is a rather large field of investigation developed over many years. This trend was formed first in group theory; basic relevant information up to the early seventies is contained in the book [Suz] and the surveys [K Pek St], [Sad 2], [Ar Sad], there is also a quite recent book [Schm 2]. As another inspiring source, one should point out a branch of mathematics to which the book [Baer] was devoted. One of the key objects of examination in this branch is the subspace lattice of a vector space over a skew field. A more general approach deals with modules and their submodule lattices. Examining subsystem lattices for the case of modules as well as for rings and algebras (both associative and non-associative, in particular, Lie algebras) began more than thirty years ago; there are results on this subject also for lattices, Boolean algebras and some other types of algebraic systems, both concrete and general. A lot of works including several surveys have been published here.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 396 pp. Englisch.…

Seller Inventory # 9789048147496

Title
Semigroups and Their Subsemigroup Lattices
Author
L. N. Shevrin
Publisher
Springer, Springer Dez 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9048147492
ISBN 13
9789048147496
Item weight
598 grams
Dimensions
235x155x22 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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