Gruppentopologien auf nichtabelschen abzählbaren Gruppen.
Hausdorff topologies on the a-bicyclic semigroup.
H-Coextensions in the category of compact semigroups.
Hereditarily unicoherent continua and monotone structures.
Higher-dimensional algebra. V: 2-Groups.
Homegeneous groupoids
Homogeneity of βG if G is a topological group
Homogeneous spaces admitting transitive semigroups.
Homomorphic actions of IH on a compact group.
Homomorphic images of -factorizable groups
It is well known that every -factorizable group is -narrow, but not vice versa. One of the main problems regarding -factorizable groups is whether this class of groups is closed under taking continuous homomorphic images or, alternatively, whether every -narrow group is a continuous homomorphic image of an -factorizable group. Here we show that the second hypothesis is definitely false. This result follows from the theorem stating that if a continuous homomorphic image of an -factorizable...
Ideal compactifications in uniquely divisible semigroups.
Ideal Extensions of compact reductive semigroups.
Ideals of the Stone-Cech compactification of semigroups.
Idempotent semigroups and tropical algebraic sets
The tropical semifield, i.e., the real numbers enhanced by the operations of addition and maximum, serves as a base of tropical mathematics. Addition is an abelian group operation, whereas the maximum defines an idempotent semigroup structure. We address the question of the geometry of idempotent semigroups, in particular, tropical algebraic sets carrying the structure of a commutative idempotent semigroup. We show that commutative idempotent semigroups are contractible, that systems of tropical...
Idempotent semigroups generated by threads, I.
Idempotent semigroups generated by threads II.
Idempotents and the multiplicative group of some totally bounded rings
In this paper, we extend some results of D. Dolzan on finite rings to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.
Idempotents in compact monothetic semigroups.
Idempotents of compact monothetic semiclosure semigroups