[PDF][PDF] Characterizations of prime and weakly prime subhypermodules

A Siraworakun, S Pianskool, M Hall - International Mathematical Forum, 2012 - Citeseer
In this paper, prime and weakly prime subhypermodules of a hypermodule over a hyperring
are investigated. We provide some conditions to imply that they are identical. Moreover …

[PDF][PDF] Essential subhypermodules and their properties

B Talaee - Journal of Algebra and Related Topics, 2018 - jart.guilan.ac.ir
Let R be a hyperring (in the sense of [8]) andM be a hypermodule on R. In this paper we will
introduce and study a class of subhypermodules of M. We will study on intersection of this …

[HTML][HTML] On prime and primary subhypermodules of (m, n)-hypermodules

R Ameri, M Norouzi, V Leoreanu-Fotea - European Journal of …, 2015 - Elsevier
Let R be an (m, n)-hyperring and M be an (m, n)-hypermodule over R. We introduce and
study n-ary prime, primary and maximal subhypermodules of M. Also, Jacobson radical and …

Some remarks concerning multiplication -hypermodules‎

M Anbarloei - Journal of Algebraic Hyperstructures and Logical …, 2024 - jahla.hatef.ac.ir
‎ The existence link of $ n $-ary prime subhypermodules and $ n $-ary prime hyperideal in
$(m‎,‎ n) $-hyperrings is investigated by multiplication $(m‎,‎ n) $-hypermodules‎.‎ An $(m‎,‎ n) …

δ-primary subhypermodules on Krasner hyperrings

K Hila, E Kaya, M Bolat, BA Ersoy, S Onar… - … and General Algebraic …, 2024 - cgasa.sbu.ac.ir
In this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero
unital hypermodules. We introduce a new concept, the $\delta $-primary subhypermodule …

[PDF][PDF] t-Extending Krasner Hypermodules

BN Türkmen - Boletim Sociedade Paranaense De …, 2022 - pdfs.semanticscholar.org
Burcu Nisancı Türkmen abstract: Let M be a hypermodule over a hyperring R such that the
intersection of any two subhypermodules of M is a subhypermodule of M. We introduce the …

[HTML][HTML] On multiplication (m, n)-hypermodules

R Ameri, M Norouzi - European Journal of Combinatorics, 2015 - Elsevier
In this paper we introduce and study multiplication (m, n)-hypermodules (with canonical (m,
n)-hypergroups) over a given Krasner (m, n)-hyperring. In this regards we introduce n-ary …

On quotient hypermodules

S Ostadhadi-Dehkordi, B Davvaz - 2015 - projecteuclid.org
A hypermodule is a multivalued algebraic system satisfying the module like axioms. In this
paper, we construct quotient hypermodule. Let M be a hypermodule, N be a …

A new approach to smallness in hypermodules

AR Moniri Hamzekolaee, M Norouzi… - … Structures and Their …, 2021 - as.yazd.ac.ir
Research Paper A NEW APPROACH TO SMALLNESS IN HYPERMODULES 1. Introduction Let
R denote an arbitrary associative ring with ident Page 1 Algebraic Structures and Their …

[PDF][PDF] Divisible hypermodules

H Bordbar, I Cristea - Analele ştiinţifice ale Universităţii" Ovidius" …, 2022 - sciendo.com
The article is motivated by the recently published studies on injective and projective
hypermodules. We present here a new characterization of the normal injective …