English

Dual minus partial order

Rings and Algebras 2024-07-10 v1

Abstract

In this paper, we introduce the Dual-minus partial order, get some characterizations of the partial order, and prove that both the dual star partial order and the dual sharp partial order are Dual-minus-type partial orders. Based on the Dual-minus partial order, we introduce the Dual-minus sharp partial order and the Dual-minus star partial order, which are also Dual-minus-type partial orders. In addition, we discuss relationships among the Dual-minus sharp partial order, the D-sharp partial order and the G-sharp partial order(the Dual-minus star partial order, the D-star partial order and the P-star partial order).

Cite

@article{arxiv.2407.06453,
  title  = {Dual minus partial order},
  author = {Ju Gao and Hongxing Wang and Xiaoji Liu},
  journal= {arXiv preprint arXiv:2407.06453},
  year   = {2024}
}

Comments

23 pages

R2 v1 2026-06-28T17:33:42.161Z