Essential extensions of Stone algebras (Q1239178)

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)].