On a class of t-archimedean semigroups.
On a conjecture of Brown.
On a conjecture of Rhodes.
On a conjecture of the semigroup of fully indecomposable relations
On a construction of semigroups
On a Construction of Some Semigroups
On a Miller and Clifford Theorem.
On a multiplication of semigroup varieties.
On a number of commuting transformations
On a probabilistic problem on finite semigroups
We deal with the following problem: how does the structure of a finite semigroup depend on the probability that two elements selected at random from , with replacement, define the same inner right translation of . We solve a subcase of this problem. As the main result of the paper, we show how to construct not necessarily finite medial semigroups in which the index of the kernel of the right regular representation equals two.
On a problem of B. Zelinka
On a problem of B. Zelinka, II
On a problem of n(2)-permutable semigroups.
On a problem of Pastijn and Petrich.
On a problem of walks
In 1995, F. Jaeger and M.-C. Heydemann began to work on a conjecture on binary operations which are related to homomorphisms of De Bruijn digraphs. For this, they have considered the class of digraphs such that for any integer , has exactly walks of length , where is the order of . Recently, C. Delorme has obtained some results on the original conjecture. The aim of this paper is to recall the conjecture and to report where all the authors arrived.
On a pull-back diagram for orthodox semigroups.
On a relationship between monoids and monounary algebras
On a representation of semigroups by products of algebras and relations
On a semigroup theoretic generalization of the Kaluznin Krasner Theorem and normal extensions of inverse semigroups.
On a simple one-element extension of left zero semigroups