Geodesic
Modular and Admissible Semilattices
Canadian journal of mathematics, Tome 36 (1984) no. 5, pp. 795-799

Voir la notice de l'article provenant de la source Cambridge University Press

We correct some errors in [1] and extend some of the results there. Generally, we shall follow the terminology and notation of [1]. There is an error in the proof of Lemma 3.13 there, and consequently the subsequent results which depend on it are incorrect as stated. However, they are correct if we replace the condition “a-admissible” by “strongly a-admissible” (see [3] where this notion was introduced). We also show that the results in [1] are correct if the semilattices are assumed to be modular.We shall change the terminology in [3] slightly. Definition 1 (see [3]). Let A be a Boolean algebra and let D be a meet semilattice with 1. An admissible map f.A X D → D is called strongly admissible if where a’ is the complement of a in A. 
Hoo, C. S.; Murty, P. V. Ramana. Modular and Admissible Semilattices. Canadian journal of mathematics, Tome 36 (1984) no. 5, pp. 795-799. doi: 10.4153/CJM-1984-046-5
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[1] 1. Hoo, C. S., Pseudocomplemented and implicative semilattices, Can. J. Math. 35 (1982), 423–437. Google Scholar

[2] 2. Murtv, P V. Ramana, Prime and implicative semilattices. Algebra Universalis 10 (1980), 31–35. Google Scholar

[3] 3. Murty, P. V. Ramana and Rao, V. V. Rama, Characterization of certain classes of pseudocomplemented semilattices. Algebra Universalis 4 (1974), 289–300. Google Scholar

[4] 4. Murty, P. V. Ramana and Murty, M. Krishna, On admissible semilattices, Algebra Universalis 6 (1976), 355–366. Google Scholar

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