Algebras of multiplace functions
(eBook)
Author:
Contributors:
Published:
Berlin ; Boston : De Gruyter, ©2012.
Format:
eBook
ISBN:
9783110269307, 3110269309, 1283628260, 9781283628266
Physical Desc:
1 online resource (x, 389 pages)
Status:
Ebsco (CCU)
Description
"This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this area, covering mainly Russian literature. It aresses all algebraist working in the area of universal algebras, semigroup theory. It is also fruitful source for graduate and PhD students who are starting their research in this area. The book is the first monograph in English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras and its generalizations and applications. The results presented here were originally published mostly in Russian literature: In 2006 the first version of this book was edited in Russian; now is presented an extended version. Two big new and very important chapters are added. The monograph is a very good survey of unknown or little-known Russian literature on algebras of multiplace functions. It uncovers to the mathematical community a beautiful and strongly developing theory."--Publisher's website.
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Citations
APA Citation (style guide)
Dudek, W. A., & Trokhimenko, V. S. (2012). Algebras of multiplace functions. Berlin ; Boston, De Gruyter.
Chicago / Turabian - Author Date Citation (style guide)Dudek, Wieslaw A and Valentin S. Trokhimenko. 2012. Algebras of Multiplace Functions. Berlin ; Boston, De Gruyter.
Chicago / Turabian - Humanities Citation (style guide)Dudek, Wieslaw A and Valentin S. Trokhimenko, Algebras of Multiplace Functions. Berlin ; Boston, De Gruyter, 2012.
MLA Citation (style guide)Dudek, Wieslaw A. and Valentin S Trokhimenko. Algebras of Multiplace Functions. Berlin ; Boston, De Gruyter, 2012.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
UPC:
9786613940711, 99953220318
Notes
Bibliography
Includes bibliographical references and index.
Description
"This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this area, covering mainly Russian literature. It aresses all algebraist working in the area of universal algebras, semigroup theory. It is also fruitful source for graduate and PhD students who are starting their research in this area. The book is the first monograph in English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras and its generalizations and applications. The results presented here were originally published mostly in Russian literature: In 2006 the first version of this book was edited in Russian; now is presented an extended version. Two big new and very important chapters are added. The monograph is a very good survey of unknown or little-known Russian literature on algebras of multiplace functions. It uncovers to the mathematical community a beautiful and strongly developing theory."--Publisher's website.
Staff View
Grouped Work ID:
9c740cdc-f5f9-937c-b905-2b6775c3f2f3
Record Information
| Last File Modification Time | Apr 05, 2024 09:31:42 PM |
|---|---|
| Last Grouped Work Modification Time | Apr 05, 2024 09:12:39 PM |
MARC Record
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| 100 | 1 | |a Dudek, Wieslaw A. | |
| 245 | 1 | 0 | |a Algebras of multiplace functions /|c by Wieslaw A. Dudek, Valentin S. Trokhimenko. |
| 260 | |a Berlin ;|a Boston :|b De Gruyter,|c ©2012. | ||
| 300 | |a 1 online resource (x, 389 pages) | ||
| 336 | |a text|b txt|2 rdacontent | ||
| 337 | |a computer|b c|2 rdamedia | ||
| 338 | |a online resource|b cr|2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a "This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this area, covering mainly Russian literature. It aresses all algebraist working in the area of universal algebras, semigroup theory. It is also fruitful source for graduate and PhD students who are starting their research in this area. The book is the first monograph in English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras and its generalizations and applications. The results presented here were originally published mostly in Russian literature: In 2006 the first version of this book was edited in Russian; now is presented an extended version. Two big new and very important chapters are added. The monograph is a very good survey of unknown or little-known Russian literature on algebras of multiplace functions. It uncovers to the mathematical community a beautiful and strongly developing theory."--Publisher's website. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Frontmatter --|t Preface --|t Contents --|t Chapter 1. Main concepts --|t Chapter 2. Menger algebras of functions --|t Chapter 3. Ordered Menger algebras --|t Chapter 4. Relations between functions --|t Chapter 5. (2, n)-semigroups of functions --|t Chapter 6. Systems of multiplace functions --|t Chapter 7. Open problems --|t Bibliography --|t Index of notations --|t Index. |
| 650 | 0 | |a Algebra. | |
| 650 | 4 | |a Iterative Algebra. | |
| 650 | 4 | |a Menger Algebra. | |
| 650 | 4 | |a Multiplace Function. | |
| 650 | 4 | |a Positional Algebra. | |
| 650 | 6 | |a Algèbre. | |
| 650 | 7 | |a algebra.|2 aat | |
| 650 | 7 | |a MATHEMATICS|x Algebra|x Intermediate.|2 bisacsh | |
| 650 | 7 | |a Algebra|2 fast | |
| 650 | 7 | |a Mehrere Variable|2 gnd | |
| 650 | 7 | |a Algebraische Struktur|2 gnd | |
| 650 | 7 | |a Funktion|2 gnd | |
| 700 | 1 | |a Trokhimenko, Valentin S. | |
| 758 | |i has work:|a Algebras of multiplace functions (Text)|1 https://id.oclc.org/worldcat/entity/E39PCG3G4C4rc7gtJjVwFbhVfq|4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version:|a Dudek, Wieslaw A.|t Algebras of multiplace functions.|d Berlin ; Boston : De Gruyter, ©2012|z 9783110269284|w (DLC) 2012019184|w (OCoLC)783142429 |
| 856 | 4 | 0 | |u http://ezproxy.ccu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=494154 |
| 880 | 0 | |6 505-00/(S|a Machine generated contents note: 1. Main concepts -- 1.1. Elements of theory of relations -- 1.2. Functions and operations -- 1.3. Algebraic systems -- 1.4. Closure operations -- 1.5. Notes on Chapter 1 -- 2. Menger algebras of functions -- 2.1. Definitions and fundamental notions -- 2.2. Menger semigroups -- 2.3.v-regular Menger algebras -- 2.4.i-solvable Menger algebras -- 2.5. Group-like Menger algebras -- 2.6. Antisymmetric Menger algebras -- 2.7. Representations of Menger algebras -- 2.8. Notes on Chapter 2 -- 3. Ordered Menger algebras -- 3.1. Menger algebras of relations -- 3.2.F.o. and p.q.o. Menger algebras -- 3.3. Algebras of reversive functions -- 3.4.(λ)-, (γ)-, (λ, γ)-Menger algebras -- 3.5. Subtraction Menger algebras -- 3.6. Restrictive Menger algebras -- 3.7. Functional Menger systems -- 3.8. Notes on Chapter 3 -- 4. Relations between functions -- 4.1. Stabilizers of Menger algebras -- 4.2. Stabilizers of functional Menger systems -- 4.3. Stationary subsets. | |
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