On a multiplication of semigroup varieties.
On a New Approach to Williamson's Generalization of Pólya's Enumeration Theorem
Pólya’s fundamental enumeration theorem and some results from Williamson’s generalized setup of it are proved in terms of Schur- Macdonald’s theory (S-MT) of “invariant matrices”. Given a permutation group W ≤ Sd and a one-dimensional character χ of W , the polynomial functor Fχ corresponding via S-MT to the induced monomial representation Uχ = ind|Sdv/W (χ) of Sd , is studied. It turns out that the characteristic ch(Fχ ) is the weighted inventory of some set J(χ) of W -orbits in the integer-valued hypercube...
On a New Characterization of Demuskin Groups.
On a Non-Abelian Variety of Groups which are Symmetric Algebras.
On a number of commuting transformations
On a planar construction of quasigroups
On a power of cyclically ordered sets
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 A.D. Sands.
On a problem of B. Zelinka
On a problem of B. Zelinka, II
On a Problem of Boone.
On a problem of Chern-Akivis-Shelekhov on hexagonal three-webs.
On a Problem of Fox.
On a problem of Freudenthal's
On a problem of n(2)-permutable semigroups.
On a problem of Pastijn and Petrich.
On a problem of the theory of multiply local formations.
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 problem on explicit embeddings of the group .