Natural dualities of residuated lattice : Natural dualities for the quasi-variety generated by a residuated lattice （2012. 60 S. 220 mm）

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Natural dualities of residuated lattice : Natural dualities for the quasi-variety generated by a residuated lattice （2012. 60 S. 220 mm）

Faruk, Syed Md. Omar

ウェブストア価格 ¥12,471（本体¥11,338）
LAP LAMBERT ACADEMIC PUBLISHING（2012発売）
外貨定価 EUR 49.00
ポイント 113pt

オンデマンド(OD/POD)版です。キャンセルは承れません。

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製本 Paperback:紙装版/ペーパーバック版／ページ数 60 p.
商品コード 9783659303593

Description

(Text)
Natural duality is fundamentally a category-theoretic concept. It is concerned with the quasi-variety generated by a finite algebra. Natural duality theory takes a problem in a class of algebras and converts it into an easier, pictorial problem in a completely different class of topological structures. Residuated lattices are lattice-ordered-algebras, so it has natural duality. In this book we are interested to obtain a class of topological structures which is dual to quasi-variety generated by a five -element residuated lattice. Piggyback Duality Theorem is a very economical way to obtain dual structure of lattice-ordered- algebras. The application technique of the Piggyback Duality Theorem to a lattice ordered algebra is exhibited in this book.
(Author portrait)
Faruk, Syed Md. OmarThe author has completed his B.Sc.(Hons.) and M.S. programs in the Department of Mathematics at Shahjalal University of Science & Technology, Sylhet, Bangladesh. He secured 1st positions in both degrees with Distinction. Currently he is working as a Lecturer of Mathematics in the Department of Mathematics and Natural Sciences at BRAC University.