Algebras of multiplace functions /:
"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 sou...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
©2012.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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. |
| Beschreibung: | 1 online resource (x, 389 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110269307 3110269309 1283628260 9781283628266 |
Internformat
MARC
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| 245 | 1 | 0 | |a Algebras of multiplace functions / |c by Wieslaw A. Dudek, Valentin S. Trokhimenko. |
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| 504 | |a Includes bibliographical references and index. | ||
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| 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. |0 http://id.loc.gov/authorities/subjects/sh85003425 | |
| 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 | |
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| 650 | 7 | |a Algebraische Struktur |2 gnd |0 http://d-nb.info/gnd/4001166-5 | |
| 650 | 7 | |a Funktion |2 gnd | |
| 700 | 1 | |a Trokhimenko, Valentin S. |0 http://id.loc.gov/authorities/names/n2012033694 | |
| 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 |
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Datensatz im Suchindex
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| _version_ | 1816882210214510592 |
| adam_text | |
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| author | Dudek, Wieslaw A. |
| author2 | Trokhimenko, Valentin S. |
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| author_GND | http://id.loc.gov/authorities/names/n2012033688 http://id.loc.gov/authorities/names/n2012033694 |
| author_facet | Dudek, Wieslaw A. Trokhimenko, Valentin S. |
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| callnumber-raw | QA155 .D86 2012eb |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 |
| collection | ZDB-4-EBA |
| contents | Frontmatter -- Preface -- Contents -- Chapter 1. Main concepts -- Chapter 2. Menger algebras of functions -- Chapter 3. Ordered Menger algebras -- Chapter 4. Relations between functions -- Chapter 5. (2, n)-semigroups of functions -- Chapter 6. Systems of multiplace functions -- Chapter 7. Open problems -- Bibliography -- Index of notations -- Index. |
| ctrlnum | (OCoLC)812066437 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:24:59Z |
| institution | BVB |
| isbn | 9783110269307 3110269309 1283628260 9781283628266 |
| language | English |
| oclc_num | 812066437 |
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| physical | 1 online resource (x, 389 pages) |
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| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | De Gruyter, |
| record_format | marc |
| spelling | Dudek, Wieslaw A. http://id.loc.gov/authorities/names/n2012033688 Algebras of multiplace functions / by Wieslaw A. Dudek, Valentin S. Trokhimenko. Berlin ; Boston : De Gruyter, ©2012. 1 online resource (x, 389 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. "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. Print version record. Frontmatter -- Preface -- Contents -- Chapter 1. Main concepts -- Chapter 2. Menger algebras of functions -- Chapter 3. Ordered Menger algebras -- Chapter 4. Relations between functions -- Chapter 5. (2, n)-semigroups of functions -- Chapter 6. Systems of multiplace functions -- Chapter 7. Open problems -- Bibliography -- Index of notations -- Index. Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Iterative Algebra. Menger Algebra. Multiplace Function. Positional Algebra. Algèbre. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Mehrere Variable gnd http://d-nb.info/gnd/4277015-4 Algebraische Struktur gnd http://d-nb.info/gnd/4001166-5 Funktion gnd Trokhimenko, Valentin S. http://id.loc.gov/authorities/names/n2012033694 Print version: Dudek, Wieslaw A. Algebras of multiplace functions. Berlin ; Boston : De Gruyter, ©2012 9783110269284 (DLC) 2012019184 (OCoLC)783142429 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=494154 Volltext 505-00/(S 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. |
| spellingShingle | Dudek, Wieslaw A. Algebras of multiplace functions / Frontmatter -- Preface -- Contents -- Chapter 1. Main concepts -- Chapter 2. Menger algebras of functions -- Chapter 3. Ordered Menger algebras -- Chapter 4. Relations between functions -- Chapter 5. (2, n)-semigroups of functions -- Chapter 6. Systems of multiplace functions -- Chapter 7. Open problems -- Bibliography -- Index of notations -- Index. Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Iterative Algebra. Menger Algebra. Multiplace Function. Positional Algebra. Algèbre. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Mehrere Variable gnd http://d-nb.info/gnd/4277015-4 Algebraische Struktur gnd http://d-nb.info/gnd/4001166-5 Funktion gnd |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85003425 http://d-nb.info/gnd/4277015-4 http://d-nb.info/gnd/4001166-5 |
| title | Algebras of multiplace functions / |
| title_alt | Frontmatter -- Preface -- Contents -- Chapter 1. Main concepts -- Chapter 2. Menger algebras of functions -- Chapter 3. Ordered Menger algebras -- Chapter 4. Relations between functions -- Chapter 5. (2, n)-semigroups of functions -- Chapter 6. Systems of multiplace functions -- Chapter 7. Open problems -- Bibliography -- Index of notations -- Index. |
| title_auth | Algebras of multiplace functions / |
| title_exact_search | Algebras of multiplace functions / |
| title_full | Algebras of multiplace functions / by Wieslaw A. Dudek, Valentin S. Trokhimenko. |
| title_fullStr | Algebras of multiplace functions / by Wieslaw A. Dudek, Valentin S. Trokhimenko. |
| title_full_unstemmed | Algebras of multiplace functions / by Wieslaw A. Dudek, Valentin S. Trokhimenko. |
| title_short | Algebras of multiplace functions / |
| title_sort | algebras of multiplace functions |
| topic | Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Iterative Algebra. Menger Algebra. Multiplace Function. Positional Algebra. Algèbre. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Mehrere Variable gnd http://d-nb.info/gnd/4277015-4 Algebraische Struktur gnd http://d-nb.info/gnd/4001166-5 Funktion gnd |
| topic_facet | Algebra. Iterative Algebra. Menger Algebra. Multiplace Function. Positional Algebra. Algèbre. algebra. MATHEMATICS Algebra Intermediate. Algebra Mehrere Variable Algebraische Struktur Funktion |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=494154 |
| work_keys_str_mv | AT dudekwieslawa algebrasofmultiplacefunctions AT trokhimenkovalentins algebrasofmultiplacefunctions |