Order Vitally Dense Injectivity and Order Vitally Essentiality

M. Hezarjaribi

Order Vitally Dense Injectivity and Order Vitally Essentiality

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

References

[1] S. Bulman-Fleming, V. Laan, Lazard’s theorem for S-posets, Math. Nachr., 278(15), 2005, 1742-1755.
[2] M.M. Ebrahimi, M. Mahmoudi, The category of S-posets, Semigroup Froum, 71(3), 2005, 443-461.
[3] S.M. Fakhruddin, On the category of S-posets, Acta Sci. Mth., 52, 1988, 85-92.
[4] M. Hezarjaribi, H. Rasouli, A categorical approach to vitally dense monomorphisms of S-acts, Ital. J. Pure Appl. Math., 45, 2021, 620-634.
[5] H. Rasouli, Categorical properties of regular monomorphisms of S-posets, European J. pure Appl. Math., 7(2), 2014, 166-178.
[6] L. Shahbaz, The regular injective envelope of S-posets, Semigroup forum, 92(1), 2015, 186-197.
[7] L. Shahbaz, Categorical properties of down closed embeddings, Sahand Commun. Math. Anal., 19(1), 2022, 89-99.
[8] L. Shahbaz, Order dense injectivity of S-posets, Categories and General Algebraic Structures with Applications, 3(1), 2015, 43-63.

Details

Primary Language

English

Subjects

Science Education, Science and Mathematics Education (Other)

Journal Section

Research Article

Authors

M. Hezarjaribi This is me
Iran

Publication Date

January 15, 2024

Submission Date

February 10, 2023

Acceptance Date

April 3, 2023

Published in Issue

Year 2024 Volume: 14 Number: 1

IZ

https://izlik.org/JA77XY47SY

Cite

RIS / Bibtex

APA

Hezarjaribi, M. (2024). Order Vitally Dense Injectivity and Order Vitally Essentiality. Azerbaijan Journal of Mathematics, 14(1), 23-34. https://izlik.org/JA77XY47SY

AMA

1.Hezarjaribi M. Order Vitally Dense Injectivity and Order Vitally Essentiality. AZJM. 2024;14(1):23-34. https://izlik.org/JA77XY47SY

Chicago

Hezarjaribi, M. 2024. “Order Vitally Dense Injectivity and Order Vitally Essentiality”. Azerbaijan Journal of Mathematics 14 (1): 23-34. https://izlik.org/JA77XY47SY.

EndNote

Hezarjaribi M (January 1, 2024) Order Vitally Dense Injectivity and Order Vitally Essentiality. Azerbaijan Journal of Mathematics 14 1 23–34.

IEEE

[1]M. Hezarjaribi, “Order Vitally Dense Injectivity and Order Vitally Essentiality”, AZJM, vol. 14, no. 1, pp. 23–34, Jan. 2024, [Online]. Available: https://izlik.org/JA77XY47SY

ISNAD

Hezarjaribi, M. “Order Vitally Dense Injectivity and Order Vitally Essentiality”. Azerbaijan Journal of Mathematics 14/1 (January 1, 2024): 23-34. https://izlik.org/JA77XY47SY.

JAMA

1.Hezarjaribi M. Order Vitally Dense Injectivity and Order Vitally Essentiality. AZJM. 2024;14:23–34.

MLA

Hezarjaribi, M. “Order Vitally Dense Injectivity and Order Vitally Essentiality”. Azerbaijan Journal of Mathematics, vol. 14, no. 1, Jan. 2024, pp. 23-34, https://izlik.org/JA77XY47SY.

Vancouver

1.M. Hezarjaribi. Order Vitally Dense Injectivity and Order Vitally Essentiality. AZJM [Internet]. 2024 Jan. 1;14(1):23-34. Available from: https://izlik.org/JA77XY47SY