# A note on Stone join-semilattices

Shriram Nimbhorkar; Anwari Rahemani

Open Mathematics (2011)

- Volume: 9, Issue: 4, page 929-933
- ISSN: 2391-5455

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topShriram Nimbhorkar, and Anwari Rahemani. "A note on Stone join-semilattices." Open Mathematics 9.4 (2011): 929-933. <http://eudml.org/doc/269185>.

@article{ShriramNimbhorkar2011,

abstract = {Characterizations for a pseudocomplemented modular join-semilattice with 0 and 1 and its ideal lattice to be a Stone lattice are given.},

author = {Shriram Nimbhorkar, Anwari Rahemani},

journal = {Open Mathematics},

keywords = {Pseudocomplemented lattice; Stone lattice; Modular join-semilattice; pseudocomplemented lattice; modular join-semilattice},

language = {eng},

number = {4},

pages = {929-933},

title = {A note on Stone join-semilattices},

url = {http://eudml.org/doc/269185},

volume = {9},

year = {2011},

}

TY - JOUR

AU - Shriram Nimbhorkar

AU - Anwari Rahemani

TI - A note on Stone join-semilattices

JO - Open Mathematics

PY - 2011

VL - 9

IS - 4

SP - 929

EP - 933

AB - Characterizations for a pseudocomplemented modular join-semilattice with 0 and 1 and its ideal lattice to be a Stone lattice are given.

LA - eng

KW - Pseudocomplemented lattice; Stone lattice; Modular join-semilattice; pseudocomplemented lattice; modular join-semilattice

UR - http://eudml.org/doc/269185

ER -

## References

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- [7] Katriňák T., Mederly P., Construction of p-algebras with a modular frame, Houston J. Math., 1978, 4(1), 67–79 Zbl0381.06018
- [8] Stone M. H., Topological representations of distributive lattices and Brouwerian logics, Časopis Pěst. Mat. Fys., 1937, 67, 1–25 Zbl0018.00303
- [9] Varlet J., On the characterization of Stonelattices, Acta Sci. Math. (Szeged), 1966, 27(1–2), 81–84
- [10] Venkatanarasimhan P.V., A note on modular lattices, J. Indian Math. Soc., 1966, 30, 55–59 Zbl0158.01606
- [11] Venkatanarasimhan P.V., Pseudo-complements in posets, Proc. Amer. Math. Soc., 1971, 28(1), 9–17 http://dx.doi.org/10.1090/S0002-9939-1971-0272687-X Zbl0218.06002

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