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On Multi-Hyperrings
A. Fayazi (1), T. Nozari (2), R. Ameri
(3)
and M. Norouzi
(4)
(1) Department
of Mathematics,
Faculty of
Sciences,
Golestan
University,
Gorgan, Iran
Email address:
a.fayazi96@stu.gu.ac.ir
(2)
Department of
Mathematics, Faculty
of Sciences,
Golestan University,
Gorgan, Iran
Email address:
t.nozari@gu.ac.ir
(3)
School of
Mathematics,
Statistics and
Computer Science,
College of Sciences,
University of
Tehran, Tehran, Iran
Email address:
rameri@ut.ac.ir
(4)
Department of
Mathematics, Faculty
of Basic Sciences,
Univrsity of Bojnord,
Bojnord, Iran
Email address:
m.norouzi@ub.ac.ir
Doi :
https://doi.org/10.47013/17.1.4
Cited by :
Jordan J. Math &
Stat.,
17 (1) (2024),
65 - 83
PDF
Received on:
Feb. 6,
2023;
Accepted
on: Aug. 6,
2023
Abstract. In this
paper, we
introduce multi-hyperrings
and obtain
several related
results. Also,
we study the
concept of
sub-multi-hyperring
and different
operations on
multi-hyperrings
such that
intersection,
union, direct
product, and
homomorphism,
and investigate
their main
properties.
Keywords: Krasner
hyperring,
multiset, multi-hyperring.
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