Algebras of Multiplace Functions / / Wieslaw A. Dudek, Valentin S. Trokhimenko.
This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this topic, covering mainly the Russian literature. It is addressed to all algebraists working in the area of universal algebras, semigroup theory, etc. It is also...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©2012 |
Year of Publication: | 2012 |
Language: | English |
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Dudek, Wieslaw A., author. aut http://id.loc.gov/vocabulary/relators/aut Algebras of Multiplace Functions / Wieslaw A. Dudek, Valentin S. Trokhimenko. Berlin ; Boston : De Gruyter, [2012] ©2012 1 online resource (389 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this topic, covering mainly the Russian literature. It is addressed to all algebraists working in the area of universal algebras, semigroup theory, etc. It is also a useful source of information for graduate and PhD students who are starting their research in this area. The book is the first monograph in the 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 the Russian literature: In 2006, the first version of this book was edited in Russian and it is now presented in an extended version, where two new and very important chapters are added. The monograph is a broad survey of unknown or little-known Russian literature on algebras of multiplace functions and presents to the mathematical community a beautiful and strongly developing theory. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) Algebra. MATHEMATICS / Algebra / General. bisacsh Iterative Algebra. Menger Algebra. Multiplace Function. Positional Algebra. Trokhimenko, Valentin S., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 9783110288995 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 9783110293722 ZDB-23-DMI Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 9783110288926 ZDB-23-DMP print 9783110269284 https://doi.org/10.1515/9783110269307 https://www.degruyter.com/isbn/9783110269307 Cover https://www.degruyter.com/document/cover/isbn/9783110269307/original |
language |
English |
format |
eBook |
author |
Dudek, Wieslaw A., Dudek, Wieslaw A., Trokhimenko, Valentin S., |
spellingShingle |
Dudek, Wieslaw A., Dudek, Wieslaw A., Trokhimenko, Valentin S., 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 |
author_facet |
Dudek, Wieslaw A., Dudek, Wieslaw A., Trokhimenko, Valentin S., Trokhimenko, Valentin S., Trokhimenko, Valentin S., |
author_variant |
w a d wa wad w a d wa wad v s t vs vst |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Trokhimenko, Valentin S., Trokhimenko, Valentin S., |
author2_variant |
v s t vs vst |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Dudek, Wieslaw A., |
title |
Algebras of Multiplace Functions / |
title_full |
Algebras of Multiplace Functions / Wieslaw A. Dudek, Valentin S. Trokhimenko. |
title_fullStr |
Algebras of Multiplace Functions / Wieslaw A. Dudek, Valentin S. Trokhimenko. |
title_full_unstemmed |
Algebras of Multiplace Functions / Wieslaw A. Dudek, Valentin S. Trokhimenko. |
title_auth |
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_new |
Algebras of Multiplace Functions / |
title_sort |
algebras of multiplace functions / |
publisher |
De Gruyter, |
publishDate |
2012 |
physical |
1 online resource (389 p.) |
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 |
isbn |
9783110269307 9783110238570 9783110238471 9783110637205 9783110288995 9783110293722 9783110288926 9783110269284 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA155 |
callnumber-sort |
QA 3155 D86 42012 |
url |
https://doi.org/10.1515/9783110269307 https://www.degruyter.com/isbn/9783110269307 https://www.degruyter.com/document/cover/isbn/9783110269307/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512 |
dewey-sort |
3512 |
dewey-raw |
512 |
dewey-search |
512 |
doi_str_mv |
10.1515/9783110269307 |
oclc_num |
810253717 |
work_keys_str_mv |
AT dudekwieslawa algebrasofmultiplacefunctions AT trokhimenkovalentins algebrasofmultiplacefunctions |
status_str |
n |
ids_txt_mv |
(DE-B1597)173789 (OCoLC)810253717 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 |
is_hierarchy_title |
Algebras of Multiplace Functions / |
container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
author2_original_writing_str_mv |
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