Theory of Symmetric Lattices
dek, 2012 · Grundlehren der mathematischen Wissenschaften 173-kitob · Springer Science & Business Media
E-kitob
194
Sahifalar soni
reportReytinglar va sharhlar tasdiqlanmagan Batafsil
Bu e-kitob haqida
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.
Bu e-kitobni baholang
Fikringizni bildiring.
Qayerda o‘qiladi
Smartfonlar va planshetlar
Android va iPad/iPhone uchun mo‘ljallangan Google Play Kitoblar ilovasini o‘rnating. U hisobingiz bilan avtomatik tazrda sinxronlanadi va hatto oflayn rejimda ham kitob o‘qish imkonini beradi.
Noutbuklar va kompyuterlar
Google Play orqali sotib olingan audiokitoblarni brauzer yordamida tinglash mumkin.
Kitob o‘qish uchun mo‘ljallangan qurilmalar
Kitoblarni Kobo e-riderlar kabi e-siyoh qurilmalarida oʻqish uchun faylni yuklab olish va qurilmaga koʻchirish kerak. Fayllarni e-riderlarga koʻchirish haqida batafsil axborotni Yordam markazidan olishingiz mumkin.
