Chajda, Ivan Pseudocomplemented and Stone posets. (English) Zbl 1302.06001 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 51, No. 1, 29-34 (2012). Summary: We show that every pseudocomplemented poset can be equivalently expressed as a certain algebra where the operation of pseudocomplementation can be characterized by means of remaining two operations which are binary and nullary. Similar characterization is presented for Stone posets. Cited in 1 Document MSC: 06A06 Partial orders, general 06A11 Algebraic aspects of posets 06D15 Pseudocomplemented lattices Keywords:pseudocomplements; pseudocomplemented posets; Stone posets PDF BibTeX XML Cite \textit{I. Chajda}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 51, No. 1, 29--34 (2012; Zbl 1302.06001) Full Text: Link OpenURL References: [1] Balbes, R., Horn, A.: Stone lattices. Duke Math. J. 37 (1970), 537-545. · Zbl 0207.02802 [2] Frink, O.: Pseudo-complements in semi-lattices. Duke Math. J. 29 (1962), 505-514. · Zbl 0114.01602 [3] Nimbhokar, S. K., Rahemani, A.: A note on Stone join-semilattices. Central European Journal of Math. 9 (2011), 929-933. · Zbl 1242.06005 [4] Venkatanarasimhan, P. V.: Pseudo-complements in posets. Proc. Amer. Math. Soc. 28 (1971), 9-17. · Zbl 0218.06002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.