دانلود کتاب A Primer of Subquasivariety Lattices

Name: A Primer of Subquasivariety Lattices
Availability: InStock
Author: Kira Adaricheva
ISBN: 3030980871,9783030980870

by Kira Adaricheva, Jennifer Hyndman, J. B. Nation, Joy N. Nishida

عنوان فارسی: آغازگر شبکههای زیرشاخهواریتی
ناشر: Springer
سال: 2022
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 292-293
شابک: 3030980871,9783030980870
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 9.94 مگابایت

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جزییات کتاب

This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by developing the basics of atomic theories and implicational theories in languages that may, or may not, contain equality. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator. As an application of this new approach, it is shown that completely distributive lattices with a dually compact least element are subquasivariety lattices. The book contains many examples to illustrate these principles, as well as open problems. Ultimately this new approach gives readers a set of tools to investigate classes of lattices that can be represented as subquasivariety lattices.