Near-rings on nearness approximation spaces

Authors

MUSTAFA UÇKUN
ABDURRAHMAN GENÇ

Abstract

In this study, nearness near-ring, subnearness near-ring, nearness M-group and nearness ideal are introduced. By considering operations on the set of all near left weak cosets, nearness near-ring of all near left weak cosets and nearness near-ring homomorphism are also presented. Moreover, some properties of these structures are investigated.

DOI

10.3906/mat-1912-81

Keywords

Nearness ring, nearness near-ring, nearness ideal, weak coset

First Page

549

Last Page

565

Recommended Citation

UÇKUN, M, & GENÇ, A (2021). Near-rings on nearness approximation spaces. Turkish Journal of Mathematics 45 (1): 549-565. https://doi.org/10.3906/mat-1912-81