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Displaying 321 – 340 of 353

Topological aspects of infinitude of primes in arithmetic progressions

František Marko, Štefan Porubský (2015)

Colloquium Mathematicae

We investigate properties of coset topologies on commutative domains with an identity, in particular, the 𝓢-coprime topologies defined by Marko and Porubský (2012) and akin to the topology defined by Furstenberg (1955) in his proof of the infinitude of rational primes. We extend results about the infinitude of prime or maximal ideals related to the Dirichlet theorem on the infinitude of primes from Knopfmacher and Porubský (1997), and correct some results from that paper. Then we determine cluster...

Topological regular semigroups and topological inductive groupoids.

A.R. Rajan (1993)

Semigroup forum

Topological semigroups and Kirk's question

Aleksander Całka (1987)

Colloquium Mathematicae

Topological Semigroups. History, Theory, Applications.

Karl Heinrich Hofmann (1976/1977)

Jahresbericht der Deutschen Mathematiker-Vereinigung

Topologically 0-simple semigroups.

A.I. Roset (1977/1978)

Semigroup forum

Trees and monotone structures.

T. E. Hays (1976/1977)

Semigroup forum

Two new extensions of the Hales-Jewett theorem.

McCutcheon, Randall (2000)

The Electronic Journal of Combinatorics [electronic only]

Two results on real continuous bicharacters.

M.M. Lesokhin, N.S. Rasulov (1991)

Semigroup forum

Ultracompanions of subsets of a group

I. Protasov, S. Slobodianiuk (2014)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a group, $β G$ be the Stone-Čech compactification of $G$ endowed with the structure of a right topological semigroup and $G^{*} = β G ∖ G$ . Given any subset $A$ of $G$ and $p \in G^{*}$ , we define the $p$ -companion $Δ_{p} (A) = A^{*} \cap G p$ of $A$ , and characterize the subsets with finite and discrete ultracompanions.