Geodesic
Subdirectly irreducible sectionally pseudocomplemented semilattices
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 725-735 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Sectionally pseudocomplemented semilattices are an extension of relatively pseudocomplemented semilattices—they are meet-semilattices with a greatest element such that every section, i.e., every principal filter, is a pseudocomplemented semilattice. In the paper, we give a simple equational characterization of sectionally pseudocomplemented semilattices and then investigate mainly their congruence kernels which leads to a characterization of subdirectly irreducible sectionally pseudocomplemented semilattices.
Sectionally pseudocomplemented semilattices are an extension of relatively pseudocomplemented semilattices—they are meet-semilattices with a greatest element such that every section, i.e., every principal filter, is a pseudocomplemented semilattice. In the paper, we give a simple equational characterization of sectionally pseudocomplemented semilattices and then investigate mainly their congruence kernels which leads to a characterization of subdirectly irreducible sectionally pseudocomplemented semilattices.
Classification : 06A12, 06D15
Keywords: sectionally pseudocomplemented semilattice; weakly standard element 
@article{CMJ_2007_57_2_a14,
     author = {Hala\v{s}, R. and K\"uhr, J.},
     title = {Subdirectly irreducible sectionally pseudocomplemented semilattices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {725--735},
     year = {2007},
     volume = {57},
     number = {2},
     mrnumber = {2337626},
     zbl = {1174.06302},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a14/}
}
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Halaš, R.; Kühr, J. Subdirectly irreducible sectionally pseudocomplemented semilattices. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 725-735. http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a14/