Order Vitally Dense Injectivity and Order Vitally Essentiality

Year 2024, Volume: 14 Issue: 1, 23 - 34, 15.01.2024

M. Hezarjaribi

Abstract

In this paper, we define a new closure operator on category of S-posets and
study some properties of this closure operator. Also, we define the class of order vitally
dense embeddings denoted by M_ov, and we study the categorical properties such as
product, coproduct, pushout and pullback. Next, we investigate injectivity with respect
to this class of monomorphisms.

Keywords

S-poset, order vitally dense subact, ov-injectivity

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