A note on the maximal semilattice of an R*NC-semigroup decomposition
A note on the quasi-antiorder in a semigroup.
A note on the strongly compatible tolerances on an arbitrary semigroup
A Note on the Structure of the Semigroup of Doubly-Stochastic Matrices
A note on the WAP-compactification of groups.
A Note on two Indices of Semigroup Elements
A Note On Units And Divisors Of Zero In Group Rings
A one-sided Zimin construction.
A -theorem for inverse semigroups with zero.
A precedence theorem for semigroups.
A probabilistic approach to representation formulae for semigroups of operators with rates of convergence.
A problem on semigroups satisfying permutation identities.
A projective limit characterization of GIF semigroups with an N-congruence.
A proof of the Montague-Plemmons-Schein Theorem on maximal subgroups of the semigroup of binary relations.
A property of orthodox semigroups.
A property of the Schützenberger product.
A quantitative aspect of non-unique factorizations: the Narkiewicz constants III
Let K be an algebraic number field with non-trivial class group G and be its ring of integers. For k ∈ ℕ and some real x ≥ 1, let denote the number of non-zero principal ideals with norm bounded by x such that a has at most k distinct factorizations into irreducible elements. It is well known that behaves for x → ∞ asymptotically like . We prove, among other results, that for all integers n₁,n₂ with 1 < n₁|n₂.
A reduction theorem for complexity of finite semigroups.
A regular a-semigroups inducing a certain lattice.
A regularity criterion for semigroup rings.