Lattices and Ordered Algebraic Structures als eBook von
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1
Lattices and Ordered Algebraic Structures
EN NW EB DLISBN: 9781846281273 bzw. 184628127X, in Englisch, Springer Shop, neu, E-Book, elektronischer Download.
Lieferung aus: Italien, In magazzino.
The notion of an order plays an important role ˆ not only throughout mat- maticsbutalsoinadjacentdisciplinessuchaslogicandcomputerscience. The purpose of the present text is to provide a basic introduction to the theory of ordered structures. Taken as a whole, the material is mainly designed for a postgraduate course. However, since prerequisites are minimal, selected parts of it may easily be considered suitable to broaden the horizon of the advanced undergraduate. Indeed, this has been the author’s practice over many years. A basic tool in analysis is the notion of a continuous function, namely a mapping which has the property that the inverse image of an open set is an open set. In the theory of ordered sets there is the corresponding concept of a residuated mapping, this being a mapping which has the property that the inverse image of a principal down-set is a principal down-set. It comes the- fore as no surprise that residuated mappings are important as far as ordered structures are concerned. Indeed, albeit beyond the scope of the present - position, the naturality of residuated mappings can perhaps best be exhibited using categorical concepts. If we regard an ordered set as a small category then an order-preserving mapping f : A? B becomes a functor. Then f is + + residuated if and only if there exists a functor f : B? A such that (f,f ) is an adjoint pair. eBook.
The notion of an order plays an important role ˆ not only throughout mat- maticsbutalsoinadjacentdisciplinessuchaslogicandcomputerscience. The purpose of the present text is to provide a basic introduction to the theory of ordered structures. Taken as a whole, the material is mainly designed for a postgraduate course. However, since prerequisites are minimal, selected parts of it may easily be considered suitable to broaden the horizon of the advanced undergraduate. Indeed, this has been the author’s practice over many years. A basic tool in analysis is the notion of a continuous function, namely a mapping which has the property that the inverse image of an open set is an open set. In the theory of ordered sets there is the corresponding concept of a residuated mapping, this being a mapping which has the property that the inverse image of a principal down-set is a principal down-set. It comes the- fore as no surprise that residuated mappings are important as far as ordered structures are concerned. Indeed, albeit beyond the scope of the present - position, the naturality of residuated mappings can perhaps best be exhibited using categorical concepts. If we regard an ordered set as a small category then an order-preserving mapping f : A? B becomes a functor. Then f is + + residuated if and only if there exists a functor f : B? A such that (f,f ) is an adjoint pair. eBook.
2
Lattices and Ordered Algebraic Structures (2006)
EN NW EBISBN: 9781846281273 bzw. 184628127X, in Englisch, Springer London, neu, E-Book.
Lieferung aus: Schweiz, Sofort per Download lieferbar.
Lattices and Ordered Algebraic Structures, The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.The exposition is thorough and all proofs that the reviewer checked were highly polished.Overall, the book is a well-done introduction from a distinct point of view and with exposure to the authors research expertise.´´ --MATHEMATICAL REVIEWS, PDF, 30.03.2006.
Lattices and Ordered Algebraic Structures, The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.The exposition is thorough and all proofs that the reviewer checked were highly polished.Overall, the book is a well-done introduction from a distinct point of view and with exposure to the authors research expertise.´´ --MATHEMATICAL REVIEWS, PDF, 30.03.2006.
3
Lattices and Ordered Algebraic Structures (2006)
EN NW EBISBN: 9781846281273 bzw. 184628127X, in Englisch, Springer London, neu, E-Book.
Lattices and Ordered Algebraic Structures The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.The exposition is thorough and all proofs that the reviewer checked were highly polished.Overall, the book is a well-done introduction from a distinct point of view and with exposure to the authors research expertise.´´ --MATHEMATICAL REVIEWS, 30.03.2006, PDF.
5
Lattices and Ordered Algebraic Structures
EN NW EB DLISBN: 9781846281273 bzw. 184628127X, in Englisch, Springer London, neu, E-Book, elektronischer Download.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
6
Lattices and Ordered Algebraic Structures
EN NW EBISBN: 9781846281273 bzw. 184628127X, in Englisch, Springer Nature, neu, E-Book.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, In Stock.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
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