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Universal Algebra
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High Quality Content by WIKIPEDIA articles! Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures. For instance, rather than take particular groups as the object of study, in universal algebra one takes "the theory of groups" as an object of study. From the point of view of universal algebra, an algebra (or algebraic structure) is a set A together with a collection of operations on A. An n-ary operation on A is a function that takes n elements of A and returns a single element of A. Thus, a 0-ary operation (or nullary operation) can be represented simply as an element of A, or a constant, often denoted by a letter like a. A 1-ary operation (or unary operation) is simply a function from A to A, often denoted by a symbol placed in front of its argument, like ~x. A 2-ary operation (or binary operation) is often denoted by a symbol placed between its arguments, like x y.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130355777
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T5mm
- Jahr 2010
- EAN 9786130355777
- Format Fachbuch
- ISBN 978-613-0-35577-7
- Titel Universal Algebra
- Untertitel Mathematics, Algebraic Structure, Operation, Function, Constant, Complete Lattice, Associativity, Predicate Logic
- Gewicht 131g
- Herausgeber VDM Verlag Dr. Müller e.K.
- Anzahl Seiten 76
- Genre Mathematik
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