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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...

On The Modularity Of Some Orderable Cross-Lattices

B. Martić, V. Perić (1977)

Publications de l'Institut Mathématique

On the modularity of the lattice of fundamental orders on a semilattice.

S.M. Goberstein (1982)

Semigroup forum

On the MS-algebras of the unit cube

Blyth, T.S., Varlet, J.C. (1991)

Portugaliae mathematica

On the multiplicative structure of a class of ordered semirings.

M. Satyanarayana, J. Hanumanthachari, D. Umamaheswarareddy (1986/1987)

Semigroup forum

On the number of distributive lattices.

Erné, Marcel, Heitzig, Jobst, Reinhold, Jürgen (2002)

The Electronic Journal of Combinatorics [electronic only]

On the number of finite algebraic structures

Erhard Aichinger, Peter Mayr, R. McKenzie (2014)

Journal of the European Mathematical Society

We prove that every clone of operations on a finite set $A$ , if it contains a Malcev operation, is finitely related – i.e., identical with the clone of all operations respecting $R$ for some finitary relation $R$ over $A$ . It follows that for a fixed finite set $A$ , the set of all such Malcev clones is countable. This completes the solution of a problem that was first formulated in 1980, or earlier: how many Malcev clones can finite sets support? More generally, we prove that every finite algebra with few...

Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.

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Displaying 501 – 520 of 659

On the Livingstone-Wagner theorem.

On the Maćkowiak-Tymchatyn theorem

On the maximal Dedekind completion of a half partially ordered group

On the maximal Dedekind completion of a lattice ordered group

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

On The Modularity Of Some Orderable Cross-Lattices

On the modularity of the lattice of fundamental orders on a semilattice.

On the MS-algebras of the unit cube

On the multiplicative structure of a class of ordered semirings.

On the number of distributive lattices.

On the number of finite algebraic structures

On the number of monotonic functions from two-valued logic to $k$ -valued logic

On the number of polynomials in ordered algebra

On the Order Type L-valued Relations on L-powersets.

On the order-completion of additive conjoint structures.

On the paracompactness of frames

On the partial ordering of almost definite matrices

On the permanence properties of interval homogeneous orthomodular lattices

On the poset of tensor products on the unit interval

On the positivity of the unit element in a normed lattice ordered algebra

Currently displaying 501 – 520 of 659