DIRECTED SUBMODULES IN PARTIALLY ORDERED MODULES
A module over a totally ordered ring equiped with ordered relation that is compatible to its binary operations is called a partially ordered modules. There are several classes of partially ordered modules such as directed partially ordered modules ang lattice modules. In the literature there are...
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| Format: | Theses |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/33690 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | A module over a totally ordered ring equiped with ordered relation that is compatible to
its binary operations is called a partially ordered modules. There are several classes of
partially ordered modules such as directed partially ordered modules ang lattice modules.
In the literature there are number of characterization of an ideal in a latttice vector spaces
such as sublattice and full subspace, solid subspace, sublattice and the kernel of a positive
linier mapping, as well as the kernel of the homomorphism lattice. This thesis study those
characterization and generalize to lattice modules over totally ordered lattice ring. It will
also be shown that characterzation of directed full subspace in a lattice vector space can
be generalizes to directed submodules. |
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