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Algebraic models for accounting systems /

This book describes the construction of algebraic models which represent the operations of the double entry accounting system. It gives a novel, comprehensive, proof based treatment of the topic, using such concepts from abstract algebra as automata, digraphs, monoids and quotient structures.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Cruz Rambaud, Salvador
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, N.J. : World Scientific, ©2010.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Algebraic models for accounting systems /  |c Salvador Cruz Rambaud [and others]. 
260 |a Singapore ;  |a Hackensack, N.J. :  |b World Scientific,  |c ©2010. 
300 |a 1 online resource (x, 244 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a data file 
504 |a Includes bibliographical references (pages 234-240) and index. 
505 0 |a Ch. 1. Approaches to accounting theory. 1.1. Historical perspectives. 1.2. Algebraic and proof-based approaches. 1.3. Natural language approaches. 1.4. A formal grammar approach. 1.5. Information systems in information economics. 1.6. Location of the research justified. 1.7. Accounting and formal languages. 1.8. Proof-based systems. 1.9. The scope of the present work -- ch. 2. Balance vectors. 2.1. The values of an account. 2.2. The state of an accounting system. 2.3. Properties of the balance module -- ch. 3. Transactions. 3.1. Transaction vectors. 3.2. Transaction types. 3.3. Transactions, matrices and digraphs -- ch. 4. Abstract accounting systems. 4.1. Allowable transactions and balances. 4.2. Defining an accounting system. 4.3. Subaccounting systems -- ch. 5. Quotient systems and homomorphisms. 5.1. Introduction to the quotient concept. 5.2. Quotients of accounting systems. 5.3. Homomorphisms of accounting systems. 5.4. Isomorphism theorems -- ch. 6. Accounting systems and automata. 6.1. Introduction to semiautomata and automata. 6.2. Accounting systems as automata I. 6.3. Accounting systems as automata II -- ch. 7. Accounting systems with restricted transactions. 7.1. An overview of special systems. 7.2. Finitely specifiable accounting systems. 7.3. The digraph of a simple system -- ch. 8. Algorithms. 8.1. Decision problems for accounting systems. 8.2. Recursive accounting systems. 8.3. The balance verification problem. 8.4. More algorithms -- ch. 9. The extended model. 9.1. Introduction to the 10-tuple model. 9.2. Authorization and control matrices. 9.3. Frequency control. 9.4. The 10-tuple model and automata. 9.5. The audit as an automaton -- ch. 10. The model illustrated. 10.1. A real life example. 10.2. The operation of the model. 10.3. Concluding remarks. 
520 |a This book describes the construction of algebraic models which represent the operations of the double entry accounting system. It gives a novel, comprehensive, proof based treatment of the topic, using such concepts from abstract algebra as automata, digraphs, monoids and quotient structures. 
588 0 |a Print version record. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Information storage and retrieval systems  |x Accounting  |x Mathematical models. 
650 0 |a Accounting  |x Data processing. 
650 6 |a Systèmes d'information  |x Comptabilité  |x Modèles mathématiques. 
650 6 |a Comptabilité  |x Informatique. 
650 7 |a BUSINESS & ECONOMICS  |x Accounting  |x Financial.  |2 bisacsh 
650 7 |a Accounting  |x Data processing  |2 fast 
700 1 |a Cruz Rambaud, Salvador. 
758 |i has work:  |a Algebraic models for accounting systems (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGbX4twDhcQ4RyQ9FJDwmd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |t Algebraic models for accounting systems.  |d Singapore ; Hackensack, N.J. : World Scientific, ©2010  |z 9789814287111  |w (OCoLC)609788434 
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