One-sided core-EP orthogonal elements in a ring with involution

Olivera Stanimirovic; Dijana Mosic

doi:10.24330/ieja.1949141

One-sided core-EP orthogonal elements in a ring with involution

Abstract

Our motivation is to explore the concepts of the left and right core-EP orthogonality for elements of a ring with involution. In this manner, we generalize notions of one-sided core-EP orthogonality for operators and core-EP orthogonality for elements of a ring with involution. Many properties and characterizations of left and right core-EP orthogonal elements are given. As consequences, we characterize left and right core orthogonal elements. We also study equivalent conditions for additive property of the core-EP inverse and the Drazin inverse.

Keywords

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Olivera Stanimirovic ^*
Serbia

Dijana Mosic
Serbia

Early Pub Date

May 11, 2026

Publication Date

-

Submission Date

February 17, 2026

Acceptance Date

April 23, 2026

Published in Issue

Year 2026 Number: Advanced Online Publication

DOI

https://doi.org/10.24330/ieja.1949141

IZ

https://izlik.org/JA29WD52GT

Cite

RIS / Bibtex

APA

Stanimirovic, O., & Mosic, D. (2026). One-sided core-EP orthogonal elements in a ring with involution. International Electronic Journal of Algebra, Advanced Online Publication, 1-18. https://doi.org/10.24330/ieja.1949141

AMA

1.Stanimirovic O, Mosic D. One-sided core-EP orthogonal elements in a ring with involution. IEJA. 2026;(Advanced Online Publication):1-18. doi:10.24330/ieja.1949141

Chicago

Stanimirovic, Olivera, and Dijana Mosic. 2026. “One-Sided Core-EP Orthogonal Elements in a Ring With Involution”. International Electronic Journal of Algebra, no. Advanced Online Publication: 1-18. https://doi.org/10.24330/ieja.1949141.

EndNote

Stanimirovic O, Mosic D (May 1, 2026) One-sided core-EP orthogonal elements in a ring with involution. International Electronic Journal of Algebra Advanced Online Publication 1–18.

IEEE

[1]O. Stanimirovic and D. Mosic, “One-sided core-EP orthogonal elements in a ring with involution”, IEJA, no. Advanced Online Publication, pp. 1–18, May 2026, doi: 10.24330/ieja.1949141.

ISNAD

Stanimirovic, Olivera - Mosic, Dijana. “One-Sided Core-EP Orthogonal Elements in a Ring With Involution”. International Electronic Journal of Algebra. Advanced Online Publication (May 1, 2026): 1-18. https://doi.org/10.24330/ieja.1949141.

JAMA

1.Stanimirovic O, Mosic D. One-sided core-EP orthogonal elements in a ring with involution. IEJA. 2026;:1–18.

MLA

Stanimirovic, Olivera, and Dijana Mosic. “One-Sided Core-EP Orthogonal Elements in a Ring With Involution”. International Electronic Journal of Algebra, no. Advanced Online Publication, May 2026, pp. 1-18, doi:10.24330/ieja.1949141.

Vancouver

1.Olivera Stanimirovic, Dijana Mosic. One-sided core-EP orthogonal elements in a ring with involution. IEJA. 2026 May 1;(Advanced Online Publication):1-18. doi:10.24330/ieja.1949141