Algorithmic and Combinatorial Algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematics and Its Applications
255 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Even three decades ago, the words 'combinatorial algebra' contrasting, for in stance, the words 'combinatorial topology,' were not a common designation for some branch of mathematics. The collocation 'combinatorial group theory' seems to ap pear first as the title of the book by A. Karras, W. Magnus, and D. Solitar [182] and, later on, it served as the title of the book by R. C. Lyndon and P. Schupp [247]. Nowadays, specialists do not question the existence of 'combinatorial algebra' as a special algebraic activity. The activity is distinguished not only by its objects of research (that are effectively given to some extent) but also by its methods (ef fective to some extent). To be more exact, we could approximately define the term 'combinatorial algebra' for the purposes of this book, as follows: So we call a part of algebra dealing with groups, semi groups , associative algebras, Lie algebras, and other algebraic systems which are given by generators and defining relations {in the first and particular place, free groups, semigroups, algebras, etc. )j a part in which we study universal constructions, viz. free products, lINN-extensions, etc. j and, finally, a part where specific methods such as the Composition Method (in other words, the Diamond Lemma, see [49]) are applied. Surely, the above explanation is far from covering the full scope of the term (compare the prefaces to the books mentioned above) |
| Beschreibung: | 1 Online-Ressource (XVI, 384 p) |
| ISBN: | 9789401120029 9789401048842 |
| DOI: | 10.1007/978-94-011-2002-9 |
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| 490 | 0 | |a Mathematics and Its Applications |v 255 | |
| 500 | |a Even three decades ago, the words 'combinatorial algebra' contrasting, for in stance, the words 'combinatorial topology,' were not a common designation for some branch of mathematics. The collocation 'combinatorial group theory' seems to ap pear first as the title of the book by A. Karras, W. Magnus, and D. Solitar [182] and, later on, it served as the title of the book by R. C. Lyndon and P. Schupp [247]. Nowadays, specialists do not question the existence of 'combinatorial algebra' as a special algebraic activity. The activity is distinguished not only by its objects of research (that are effectively given to some extent) but also by its methods (ef fective to some extent). To be more exact, we could approximately define the term 'combinatorial algebra' for the purposes of this book, as follows: So we call a part of algebra dealing with groups, semi groups , associative algebras, Lie algebras, and other algebraic systems which are given by generators and defining relations {in the first and particular place, free groups, semigroups, algebras, etc. )j a part in which we study universal constructions, viz. free products, lINN-extensions, etc. j and, finally, a part where specific methods such as the Composition Method (in other words, the Diamond Lemma, see [49]) are applied. Surely, the above explanation is far from covering the full scope of the term (compare the prefaces to the books mentioned above) | ||
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Datensatz im Suchindex
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| author | Bokut’, L. A. |
| author_facet | Bokut’, L. A. |
| author_role | aut |
| author_sort | Bokut’, L. A. |
| author_variant | l a b la lab |
| building | Verbundindex |
| bvnumber | BV042423873 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)869873528 (DE-599)BVBBV042423873 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-2002-9 |
| format | Electronic eBook |
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| id | DE-604.BV042423873 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401120029 9789401048842 |
| language | English |
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| publishDate | 1994 |
| publishDateSearch | 1994 |
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| publisher | Springer Netherlands |
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| series2 | Mathematics and Its Applications |
| spelling | Bokut’, L. A. Verfasser aut Algorithmic and Combinatorial Algebra by L. A. Bokut’, G. P. Kukin Dordrecht Springer Netherlands 1994 1 Online-Ressource (XVI, 384 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 255 Even three decades ago, the words 'combinatorial algebra' contrasting, for in stance, the words 'combinatorial topology,' were not a common designation for some branch of mathematics. The collocation 'combinatorial group theory' seems to ap pear first as the title of the book by A. Karras, W. Magnus, and D. Solitar [182] and, later on, it served as the title of the book by R. C. Lyndon and P. Schupp [247]. Nowadays, specialists do not question the existence of 'combinatorial algebra' as a special algebraic activity. The activity is distinguished not only by its objects of research (that are effectively given to some extent) but also by its methods (ef fective to some extent). To be more exact, we could approximately define the term 'combinatorial algebra' for the purposes of this book, as follows: So we call a part of algebra dealing with groups, semi groups , associative algebras, Lie algebras, and other algebraic systems which are given by generators and defining relations {in the first and particular place, free groups, semigroups, algebras, etc. )j a part in which we study universal constructions, viz. free products, lINN-extensions, etc. j and, finally, a part where specific methods such as the Composition Method (in other words, the Diamond Lemma, see [49]) are applied. Surely, the above explanation is far from covering the full scope of the term (compare the prefaces to the books mentioned above) Mathematics Algebra Algorithms Mathematik Kombinatorische Algebra (DE-588)4735525-6 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Algebra (DE-588)4001156-2 s Kombinatorik (DE-588)4031824-2 s Algorithmus (DE-588)4001183-5 s 1\p DE-604 Kombinatorische Algebra (DE-588)4735525-6 s 2\p DE-604 Kukin, G. P. Sonstige oth https://doi.org/10.1007/978-94-011-2002-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bokut’, L. A. Algorithmic and Combinatorial Algebra Mathematics Algebra Algorithms Mathematik Kombinatorische Algebra (DE-588)4735525-6 gnd Kombinatorik (DE-588)4031824-2 gnd Algebra (DE-588)4001156-2 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4735525-6 (DE-588)4031824-2 (DE-588)4001156-2 (DE-588)4001183-5 |
| title | Algorithmic and Combinatorial Algebra |
| title_auth | Algorithmic and Combinatorial Algebra |
| title_exact_search | Algorithmic and Combinatorial Algebra |
| title_full | Algorithmic and Combinatorial Algebra by L. A. Bokut’, G. P. Kukin |
| title_fullStr | Algorithmic and Combinatorial Algebra by L. A. Bokut’, G. P. Kukin |
| title_full_unstemmed | Algorithmic and Combinatorial Algebra by L. A. Bokut’, G. P. Kukin |
| title_short | Algorithmic and Combinatorial Algebra |
| title_sort | algorithmic and combinatorial algebra |
| topic | Mathematics Algebra Algorithms Mathematik Kombinatorische Algebra (DE-588)4735525-6 gnd Kombinatorik (DE-588)4031824-2 gnd Algebra (DE-588)4001156-2 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Mathematics Algebra Algorithms Mathematik Kombinatorische Algebra Kombinatorik Algorithmus |
| url | https://doi.org/10.1007/978-94-011-2002-9 |
| work_keys_str_mv | AT bokutla algorithmicandcombinatorialalgebra AT kukingp algorithmicandcombinatorialalgebra |