KARAKTERISASI RING DENGAN SIFAT UNIQUELY MORPHIC CHARACTERIZATION OF RINGS WITH UNIQUELY MORPHIC PROPERTIES
A ring R is called left morphic if for each a�R , R / Ra � l(a) or equivalently there exists b�R such that Ra = l(b) and l(a) = Rb , where l(a) and l(b) denote the left annihilators of a and b in R, respectively. Motivated by this left morphic properties, we will investigate the rings R satisf...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2011
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| Summary: | A ring R is called left morphic if for each a�R , R / Ra � l(a) or equivalently
there exists b�R such that Ra = l(b) and l(a) = Rb , where l(a) and l(b) denote
the left annihilators of a and b in R, respectively. Motivated by this left morphic
properties, we will investigate the rings R satisfying uniquely morphic
properties, i.e. for each 0 â� aâ��R there exists a unique bâ��R such that
Ra = l(b) and l(a) = Rb . In this thesis, we study the characterization of uniquely
morphic rings. |
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