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.

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

Full Text: PDF