Algebras of Multiplace Functions
De Gruyter (Verlag)
978-3-11-026928-4 (ISBN)
Wieslaw A. Dudek, Politechnika Wrocławska, Wrocław, Poland; Valentin S. Trokhimenko, Pedagogical University, Vinnitsa, Ukraine.
Designations
Introduction
1 Main concepts
1.1 Elements of the 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 (f)-, (g)-, (f,g)-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
4.4 Semi-compatibility relation
4.5 Co-definability relation
4.6 Connectivity relation
4.7 Projection equivalence relation
4.8 Semiadjacency relation
4.9 Notes on Chapter 4
5 (2, n)-semigroups of functions
5.1 (2, n)-semigroups and their representations
5.2 Menger (2, n)-semigroups
5.3 Projection relations on (2, n)-semigroups
5.4 Notes on Chapter 5
6 Systems of multiplace functions
6.1 Menger systems
6.2 Menger T-systems
6.3 Positional algebras
6.4 Mal'cev-Post iterative algebras
6.5 Semigroups of functions
6.6 Central semigroups of operations
6.7 Algebras of vector-valued functions
6.8 Notes on Chapter 6
7 Open problems
7.1 Closure operations
7.2 Menger algebras of functions
7.3 Menger algebras of relations
7.4 (2, n)-semigroups
7.5 Positional algebras
Bibliography
Index
Erscheint lt. Verlag | 17.8.2012 |
---|---|
Verlagsort | Berlin/Boston |
Sprache | englisch |
Maße | 170 x 240 mm |
Gewicht | 810 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Schlagworte | Algebraische Funktionen • Iterative Algebra • Menger Algebra • Menger Algebra; Multiplace Function; Positional Algebra; Iterative Algebra • Multiplace Function • Positional Algebra |
ISBN-10 | 3-11-026928-7 / 3110269287 |
ISBN-13 | 978-3-11-026928-4 / 9783110269284 |
Zustand | Neuware |
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