Operations on hyperideals in ordered Krasner hyperrings

Author:

Omidi S.1,Davvaz B.1,Corsini P.2

Affiliation:

1. Department of Mathematics, Yazd University, Yazd , Iran

2. Department of Civil Engineering and Architecture Via delle Scienze 206, 33100 Udine , Italy

Abstract

Abstract In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize intra-regular ordered Krasner hyperrings by the properties of these interior hyperideals. Finally, we give some results on ordered Krasner hyperrings.

Publisher

Walter de Gruyter GmbH

Reference29 articles.

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2. [2] A. Asokkumar, Derivations in hyperrings and prime hyperrings, Iran. J. Math. Sci. Inform., 8 (2013), 1-13.

3. [3] A. Asokkumar, Hyperlattice formed by the idempotents of a hyperring, Tamkang. J. Math., 38(3) (2007), 209-215.

4. [4] M. Bakhshi and R. A. Borzooei, Ordered Polygroups, Ratio Math., 24 (2013), 31-40.

5. [5] G. Birkhoff, Lattice Theory, Providence, 1969.

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