STRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET
Let E be an equivalence relation on the set of non empty interval of P. A function f I(P,F) is an E-function if f is constant on equivalence classes of E. Let I(PE,F) be the collection of E-function, we call an equivalence relation E order compatible if the E-function closed under multiplication in...
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id-itb.:105242017-09-27T14:41:45ZSTRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET EFIYANTI (NIM 20106013), GUSTINA Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/10524 Let E be an equivalence relation on the set of non empty interval of P. A function f I(P,F) is an E-function if f is constant on equivalence classes of E. Let I(PE,F) be the collection of E-function, we call an equivalence relation E order compatible if the E-function closed under multiplication in I(P,F). This thesis considers necessary and sufficient condition of I(PE,F) to be a sub algebra of I(P,F).<p>It also give an application of incidence algebras in physics, that is if the partially ordered set was simplicial complexes K then its incidence algebra has the structure of differential module over algebra of all complex-valued function on K. It would be a basis for discrete approximation of spacetime structure. text |
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Let E be an equivalence relation on the set of non empty interval of P. A function f I(P,F) is an E-function if f is constant on equivalence classes of E. Let I(PE,F) be the collection of E-function, we call an equivalence relation E order compatible if the E-function closed under multiplication in I(P,F). This thesis considers necessary and sufficient condition of I(PE,F) to be a sub algebra of I(P,F).<p>It also give an application of incidence algebras in physics, that is if the partially ordered set was simplicial complexes K then its incidence algebra has the structure of differential module over algebra of all complex-valued function on K. It would be a basis for discrete approximation of spacetime structure. |
| format |
Theses |
| author |
EFIYANTI (NIM 20106013), GUSTINA |
| spellingShingle |
EFIYANTI (NIM 20106013), GUSTINA STRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET |
| author_facet |
EFIYANTI (NIM 20106013), GUSTINA |
| author_sort |
EFIYANTI (NIM 20106013), GUSTINA |
| title |
STRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET |
| title_short |
STRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET |
| title_full |
STRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET |
| title_fullStr |
STRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET |
| title_full_unstemmed |
STRUCTURE OF INCIDENCE ALGEBRAS OF LOCALLY FINITE PARTIALLY ORDERED SET |
| title_sort |
structure of incidence algebras of locally finite partially ordered set |
| url |
https://digilib.itb.ac.id/gdl/view/10524 |
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