Remarks on tolerance semigroups
Remarks on Varieties of Topological Groups
Remarks to Głazek's results on n-ary groups
This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.
Representable epimorphisms of monoids
Representation extension properties of normal bands.
Representation filters and their application in the theory of local fields.
Representation growth of linear groups
Let be a group and the number of its -dimensional irreducible complex representations. We define and study the associated representation zeta function . When is an arithmetic group satisfying the congruence subgroup property then has an “Euler factorization”. The “factor at infinity” is sometimes called the “Witten zeta function” counting the rational representations of an algebraic group. For these we determine precisely the abscissa of convergence. The local factor at a finite place...
Representation modulaire des F-réguliers.
Representation of a Boolean algebra by its triangular norms.
Given a complete and atomic Boolean algebra B, there exists a family taugamma of triangular norms on B such that, under the partial ordering of triangular norms, taugamma is a Boolean algebra isomorphic to B, where gamma is the set of all atoms in B. In other words, as we have shown in this note, every complete and atomic Boolean algebra can be represented by its own triangular norms. What we have not shown in this paper is our belief that taugamma is not unique for B and that, for such a representation,...
Representation of continuous associative functions.
Strengthened forms of Ling's representation theorem concerning a class of continuous associative functions are given: Firstly the monotonicity condition is removed. Then the associativity condition is replaced by the power associativity.
Representation of finite abelian group elements by subsequence sums
Let be a finite and nontrivial abelian group with . A conjecture of Hamidoune says that if is a sequence of integers, all but at most one relatively prime to , and is a sequence over with , the maximum multiplicity of at most , and , then there exists a nontrivial subgroup such that every element can be represented as a weighted subsequence sum of the form , with a subsequence of . We give two examples showing this does not hold in general, and characterize the counterexamples...
Representation of finite groups and the first Betti number of branched coverings of a universal Borromean orbifold
The paper studies the first homology of finite regular branched coverings of a universal Borromean orbifold called B 4,4,4ℍ3. We investigate the irreducible components of the first homology as a representation space of the finite covering transformation group G. This gives information on the first betti number of finite coverings of general 3-manifolds by the universality of B 4,4,4. The main result of the paper is a criterion in terms of the irreducible character whether a given irreducible representation...
Representation of inverse semigroups by local automorphisms and multi-automorphisms of groups and rings.
Representation of inverse semigroups by one-to-one partial transformations of a set.
Representation of involuted semigroups by binary relations
Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Representation of order automorphisms by words.
Representation of semigroups by products of simple graphs
Representation of semigroups by products of topological spaces with prescribed cardinal functions