On basis of identities of Brandt semigroups.
On Bialostocki's conjecture for zero-sum sequences
On Bimorphisms and Quadratic Forms on Groups
On Bimorphisms and Quadratic Forms on Groups. (Short Communications).
On binary polynomials in idempotent commutative groupoids
On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach
The aim of this paper is to introduce the notion of BG-injectors of finite groups and invoke this notion to determine the B-injectors of Sₙ and Aₙ and to prove that they are conjugate. This paper provides a new, more straightforward and constructive proof of a result of Bialostocki which determines the B-injectors of the symmetric and alternating groups.
On binomial set-theoretic complete intersections in characteristic p.
On Bol loops of order
On bounded cohomology of amalgamated products of groups.
On Brauer’s Height Zero Conjecture
In this paper, the unproven half of Richard Brauer’s Height Zero Conjecture is reduced to a question on simple groups.
On Bruck-Reilly extensions.
On Butler -groups decomposing over two base elements
A -group is a sum of a finite number of torsionfree Abelian groups of rank , subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.
On Camina group and its generalizations
On Cancellations in HNN-Groups.
On cardinalities of row spaces of Boolean matrices.
On Cartesian Powers of a Rational Group.
On categorical crossed modules.
On category for cyclotomic rational Cherednik algebras
We study equivalences for category of the rational Cherednik algebras of type : a highest weight equivalence between and for and an action of on an explicit non-empty Zariski open set of parameters ; a derived equivalence between and whenever and have integral difference; a highest weight equivalence between and a parabolic category for the general linear group, under a non-rationality assumption on the parameter . As a consequence, we confirm special cases of conjectures...
On Cayley graphs of completely 0-simple semigroups
We give necessary and sufficient conditions for various vertex-transitivity of Cayley graphs of the class of completely 0-simple semigroups and its several subclasses. Moreover, the question when the Cayley graphs of completely 0-simple semigroups are undirected is considered.
On centerless commutative automorphic loops
In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic loops of exponent with trivial center.