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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| 格式: | Theses |
| 語言: | Indonesia |
| 在線閱讀: | https://digilib.itb.ac.id/gdl/view/10524 |
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| 機構: | Institut Teknologi Bandung |
| 語言: | Indonesia |
| 總結: | 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. |
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