2012, ISBN: 3642462502

[EAN: 9783642462504], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], FINITE; LATTICE; VERBAND; DUALITY; EXIST; FORM; GEOMETRY; MATROID; MODULARITY; PARALLELISM; PROJECTIVEGEOMETRY;… Mehr…

[EAN: 9783642462504], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], FINITE; LATTICE; VERBAND; DUALITY; EXIST; FORM; GEOMETRY; MATROID; MODULARITY; PARALLELISM; PROJECTIVEGEOMETRY; SEMIGROUP; SETS, Druck auf Anfrage Neuware - Of central importance in this book is the concept of modularity in lattices. A lattice is said to be modular if every pair of its elements is a modular pair. The properties of modular lattices have been carefully investigated by numerous mathematicians, including 1. von Neumann who introduced the important study of continuous geometry. Continu ous geometry is a generalization of projective geometry; the latter is atomistic and discrete dimensional while the former may include a continuous dimensional part. Meanwhile there are many non-modular lattices. Among these there exist some lattices wherein modularity is symmetric, that is, if a pair (a,b) is modular then so is (b,a). These lattices are said to be M-sym metric, and their study forms an extension of the theory of modular lattices. An important example of an M-symmetric lattice arises from affine geometry. Here the lattice of affine sets is upper continuous, atomistic, and has the covering property. Such a lattice, called a matroid lattice, can be shown to be M-symmetric. We have a deep theory of parallelism in an affine matroid lattice, a special kind of matroid lattice. Further more we can show that this lattice has a modular extension. 212 pp. Englisch, Books<

2012, ISBN: 9783642462504

Kartoniert, 212 Seiten, 235mm x 155mm x 12mm, Sprache(n): eng Of central importance in this book is the concept of modularity in lattices. A lattice is said to be modular if every pair of… Mehr…

Kartoniert, 212 Seiten, 235mm x 155mm x 12mm, Sprache(n): eng Of central importance in this book is the concept of modularity in lattices. A lattice is said to be modular if every pair of its elements is a modular pair. The properties of modular lattices have been carefully investigated by numerous mathematicians, including 1. von Neumann who introduced the important study of continuous geometry. Continu­ ous geometry is a generalization of projective geometry; the latter is atomistic and discrete dimensional while the former may include a continuous dimensional part. Meanwhile there are many non-modular lattices. Among these there exist some lattices wherein modularity is symmetric, that is, if a pair (a, b) is modular then so is (b, a). These lattices are said to be M-sym­ metric, and their study forms an extension of the theory of modular lattices. An important example of an M-symmetric lattice arises from affine geometry. Here the lattice of affine sets is upper continuous, atomistic, and has the covering property. Such a lattice, called a matroid lattice, can be shown to be M-symmetric. We have a deep theory of parallelism in an affine matroid lattice, a special kind of matroid lattice. Further­ more we can show that this lattice has a modular extension. Versandkostenfreie Lieferung Finite, Lattice, Verband, Duality, eXist, Form, Geometry, Matroid, modularity, parallelism, projective geometry, semigroup, sets, [PU: Springer, Berlin/Heidelberg/New York, NY]<

1970, ISBN: 9783642462504

Mitwirkende: Maeda, Shûichirô, Springer-Verlag, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 1970, 212 Seiten, Publiziert: 1970-01-01T00:00:01Z, Produktgruppe: Buch, He… Mehr…

Mitwirkende: Maeda, Shûichirô, Springer-Verlag, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 1970, 212 Seiten, Publiziert: 1970-01-01T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 0.73 kg, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Ingenieurwissenschaft & Technik, Naturwissenschaften & Technik, Springer-Verlag, 1970<

2012, ISBN: 3642462502

Softcover reprint of the original 1st ed. 1970 Kartoniert / Broschiert Finite; Lattice; Verband; Duality; eXist; Form; Geometry; Matroid; modularity; parallelism; projective geometry; s… Mehr…

Softcover reprint of the original 1st ed. 1970 Kartoniert / Broschiert Finite; Lattice; Verband; Duality; eXist; Form; Geometry; Matroid; modularity; parallelism; projective geometry; semigroup; sets, mit Schutzumschlag 11, [PU:Springer Berlin Heidelberg; Springer-Verlag GmbH]<

2012, ISBN: 9783642462504

Taschenbuch

Buch, Softcover, Softcover reprint of the original 1st ed. 1970, [PU: Springer Berlin], Springer Berlin, 2012