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Let $n$ be a positive integer, and $C_{n} (r)$ the set of all $n \times n$ $r$ -circulant matrices over the Boolean algebra $B = {0, 1}$ , $G_{n} = ⋃_{r = 0}^{n - 1} C_{n} (r)$ . For any fixed $r$ -circulant matrix $C$ ( $C \neq 0$ ) in $G_{n}$ , we define an operation “ $*$ ” in $G_{n}$ as follows: $A * B = A C B$ for any $A, B$ in $G_{n}$ , where $A C B$ is the usual product of Boolean matrices. Then $(G_{n}, *)$ is a semigroup. We denote this semigroup by $G_{n} (C)$ and call it the sandwich semigroup of generalized circulant...

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On differences of Riesz homomorphisms.

On H. Priestley's dual of the category of bounded distributive lattices

On some topologies on a generalized metric space.

On the dual space of an MS-algebra.

On the maximal subgroup of the sandwich semigroup of generalized circulant Boolean matrices

Open images of orderable spaces

Orderability of topological spaces by continuous preferences.

Orderings under field extensions.

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