Genomorphisms of lattices and semilattices. (English) Zbl 0844.08003

Summary: The concept of genomorphism was introduced by E. K. Blum. It is a congruence and subalgebra preserving mapping. We characterize all such mappings between two lattices or semilattices.


08A05 Structure theory of algebraic structures
06B05 Structure theory of lattices
06A12 Semilattices
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[1] Blum E. K., Estes D. R.: A generalization of the homomorphism concept. Algebra Univ. 7 (1977), 143-161. · Zbl 0386.08003 · doi:10.1007/BF02485424
[2] Blum E. K.: Towards a Theory of Semantics and Compilers for programming Languages. J. of Computers and System Sci., 3 (1969), 248-274. · Zbl 0174.28903 · doi:10.1016/S0022-0000(69)80016-4
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