English

A study on some combinatorial sets in partial semigroups

Combinatorics 2019-08-21 v3

Abstract

In this article, we investigate the image and preimage of the important combinatorial sets such as central sets, CC-sets, and JδJ_\delta-sets which play an important role in the study of combinatorics under certain partial semigroup homomorphism. Using that we prove certain results which deal with the existence of CC-set which are not central in partial semigroup framework.

Keywords

Cite

@article{arxiv.1901.01858,
  title  = {A study on some combinatorial sets in partial semigroups},
  author = {Arpita Ghosh},
  journal= {arXiv preprint arXiv:1901.01858},
  year   = {2019}
}

Comments

Updated version. 14 pages. Comments are welcome! arXiv admin note: text overlap with arXiv:1809.01960, and with arXiv:1810.05097 by other authors