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- Title
A COMBINATORIAL VIEWPOINT ON PRESERVING NOTIONS OF LARGENESS AND AN ABSTRACT RADO THEOREM.
- Authors
Goswami, Sayan; Jana, Subhajit
- Abstract
In this article we study two different types of problems. In the first part of this article we study the preservation of some notions of \largeness" for subsets of semi-groups under taking arbitrary semigroup homomorphisms, and in the second part we generalize a recent result of Leader and Russell concerning the partition regularity of inhomogeneous systems of linear equations over the integers to Abelian groups, dispensing with the ring structure entirely.
- Subjects
ABELIAN groups; LINEAR equations; LINEAR systems; PARTITIONS (Mathematics)
- Publication
Integers: Electronic Journal of Combinatorial Number Theory, 2021, Vol 21, p1
- ISSN
1553-1732
- Publication type
Article