Essential extensions of Stone algebras (Q1239178)
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scientific article; zbMATH DE number 3557849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Essential extensions of Stone algebras |
scientific article; zbMATH DE number 3557849 |
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Essential extensions of Stone algebras (English)
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1977
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A distributive \(p\)-algebra \(\langle L;\cup,\cap,*,0,1\rangle\) (see the review of [the author, Algebra Univers. 7, 265--271 (1977; Zbl 0358.06026)]) is called a Stone algebra if \(L\) satisfies the identity \(x^*\cup x^{**} =1\). In the paper the essential extensions of Stone algebras are characterized, which improves an earlier result of \textit{H. Lakser} [Proc. Am. Math. Soc. 24, 524--529 (1970; Zbl 0191.31504)].
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