The Monteiro-Botelho-Teixeira axiom and a "natural" topology in abelian semigroups
Aczel, J. (1965)
Portugaliae mathematica
Similarity:
Aczel, J. (1965)
Portugaliae mathematica
Similarity:
August Lau (1979)
Czechoslovak Mathematical Journal
Similarity:
Kazim, M.A., Naseeruddin, Md. (1977)
Portugaliae mathematica
Similarity:
Torben Maack Bisgaard (2002)
Czechoslovak Mathematical Journal
Similarity:
We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).
Ana Carolina Boero, Artur Hideyuki Tomita (2011)
Fundamenta Mathematicae
Similarity:
Under 𝔭 = 𝔠, we prove that it is possible to endow the free abelian group of cardinality 𝔠 with a group topology that makes its square countably compact. This answers a question posed by Madariaga-Garcia and Tomita and by Tkachenko. We also prove that there exists a Wallace semigroup (i.e., a countably compact both-sided cancellative topological semigroup which is not a topological group) whose square is countably compact. This answers a question posed by Grant.
R. J. Warne, L. K. Williams (1961)
Czechoslovak Mathematical Journal
Similarity:
Jan Stochel (1987)
Colloquium Mathematicae
Similarity:
Olga Macedońska (2017)
Open Mathematics
Similarity:
The group of fractions of a semigroup S, if exists, can be written as G = SS−1. If S is abelian, then G must be abelian. We say that a semigroup identity is transferable if being satisfied in S it must be satisfied in G = SS−1. One of problems posed by G.Bergman in 1981 asks whether the group G must satisfy every semigroup identity which is satisfied in S, that is whether every semigroup identity is transferable. The first non-transferable identities were constructed in 2005 by S.V.Ivanov...
Franz Kinzl (1989)
Semigroup forum
Similarity: