Toward a Homological Algebra of Automata IV PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Toward a Homological Algebra of Automata IV PDF full book. Access full book title Toward a Homological Algebra of Automata IV by Yehoshafat Give'on. Download full books in PDF and EPUB format.
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages : 142
Get Book Here
Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages : 142
Get Book Here
Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 115
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages :
Get Book Here
Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Get Book Here
Book Description
Author: Yehos Hafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
Get Book Here
Book Description
The projective objects of the category of automata (as state diagrams) with W as input are characterized. (Author).
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
Get Book Here
Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
Get Book Here
Book Description
In this paper the author formulates the categorical theory of abstract automata. Two immediate basic problems are posed. First, one wonders how restricted the study of abstract automata is when one confines himself to those properties which are formulated by means of the notions of category theory only. This is a mathematical question whose answer should be proved. The author proves the completeness of the categorical study of abstract automata for a wide class of input monoids, a class which includes all types of monoids employed in the theory of finite automata. In order to get this result, a general representation theorem for abstract automata is derived. The second question is psychological. How well does the categorical study of automata suit our intuitions and our problems. The answers to such a problem is not a matter of proof. The development presented in this paper has convinced the author of the potentiality of this new approach toward automata. Thus, this paper serves as a prelude to a series of papers which will exploit homological and categorical algebra methods for the sake of a mathematical theory of automata. (Author).
Author: Jirí Adámek
Publisher: Springer Science & Business Media
ISBN: 9780792300106
Category : Mathematics
Languages : en
Pages : 498
Get Book Here
Book Description
Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl
Author: Henri Cartan
Publisher: Princeton University Press
ISBN: 0691049912
Category : Mathematics
Languages : en
Pages : 407
Get Book Here
Book Description
When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework. Subsequently, each of the three theories is singled out by a suitable specialization, and its specific properties are studied. The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, "higher order" derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of "functors" and of their "derived functors." This mathematical masterpiece will appeal to all mathematicians working in algebraic topology.
