We prove some results in group theory in a model theoretic spirit.(i) We construct Jonsson
groups of cardinality N, and other cardinalities as well. This answers an old question of …

Ramsey theory is a fascinating topic. The author shares his view of the topic in this
contemporary overview of Ramsey theory. He presents from several points of view, adding …

Topological Fields and Near Valuations Page 1 Topological Fields and Near Valuations Page 2
PURE AND APPLIED MATHEMATICS A Program of Monographs, Textbooks, and Lecture …

How does a new theory emerge? It usually manifests itself in the older and established
areas of mathematics. Gradually a critical mass of results appears, prompting a realization …

Topologizable structures and Zariski topology Page 1 Algebra Univers. (2018) 79:72 c©
2018 The Author(s) 1420-8911/18/030001-11 published online August 23, 2018 https://doi.org/10.1007/s00012-018-0557-1 …

Two non-discrete Hausdorff group topologies τ1, τ2 on a group G are called transversal if
the least upper bound τ1∨ τ2 of τ1 and τ2 is the discrete topology. We show that a …

For any countable ring R and any non-discrete metrizable ring topology 0, the lattice of all
ring topologies admits:–Continuum of non-discrete metrizable ring topologies stronger than …

The algebra of square matrices of size n 2 over the field of complex numbers is, evidently,
the best-known example of a non-commutative algebra1. Subalgebras and subrings of this …

For any countable field R and any non-discrete metrizable field topology 0 of the field, the
lattice of all field topologies of the field admits:–Continuum of non-discrete metrizable field …

In 1933 Rado characterized all systems of linear equations with rational coefficients which
have a monochromatic solution whenever one finitely colors the natural numbers. A natural …