Genomorphisms of semi-modular lattices

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Characterizations and properties of genomorphisms of semi-modular lattices of finite length are derived. In particular, a strong isogenomorphism on a semi-modular lattice with exactly two nodes is shown to be either an isomorphism or a dual isomorphism.

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论文评审过程:Received 8 March 1988, Available online 2 December 2003.

论文官网地址:https://doi.org/10.1016/0022-0000(90)90011-9