[PDF][PDF] ⊕-Supplemented Semimodules
AH Alwan - Al-Bahir Journal for Engineering and Pure Sciences, 2024 - iasj.net
In this paper,⨁-supplemented semimodules are deined as generalizations of⨁-
supplemented modules. Let S be a semiring. An S-semimodule A is named a⨁ …
supplemented modules. Let S be a semiring. An S-semimodule A is named a⨁ …
[PDF][PDF] On dense subsemimodules and prime semimodules
AH Alwan, AMA Alhossaini - Iraqi Journal of Science, 2020 - iasj.net
In this paper, we study the class of prime semimodules and the related concepts, such as the
class of semimodules, the class of Dedekind semidomains, the class of prime semimodules …
class of semimodules, the class of Dedekind semidomains, the class of prime semimodules …
[PDF][PDF] Some remarks on semirings and their ideals
P Nasehpour - arXiv preprint arXiv:1804.00593, 2018 - arxiv.org
arXiv:1804.00593v2 [math.AC] 19 Nov 2018 Page 1 arXiv:1804.00593v2 [math.AC] 19 Nov
2018 SOME REMARKS ON SEMIRINGS AND THEIR IDEALS PEYMAN NASEHPOUR …
2018 SOME REMARKS ON SEMIRINGS AND THEIR IDEALS PEYMAN NASEHPOUR …
[PDF][PDF] Dedekind multiplication semimodules
AH Alwan, AMA Alhossaini - Iraqi Journal of Science, 2020 - iasj.net
The aim of this paper is to introduce the concept of Dedekind semimodules and study the
related concepts, such as the class of semimodules, and Dedekind multiplication …
related concepts, such as the class of semimodules, and Dedekind multiplication …
[PDF][PDF] Some remarks on ideals of commutative semirings
P Nasehpour - Quasigroups and Related Systems, 2018 - ibn.idsi.md
Some remarks on ideals of commutative semirings 1. Introduction Page 1 Quasigroups and
Related Systems 26 (2018), 281 − 298 Some remarks on ideals of commutative semirings …
Related Systems 26 (2018), 281 − 298 Some remarks on ideals of commutative semirings …
On 2-absorbing ideals of commutative semirings
H Behzadipour, P Nasehpour - Journal of Algebra and Its …, 2020 - World Scientific
In this paper, we investigate 2-absorbing ideals of commutative semirings and prove that if 𝔞
is a nonzero proper ideal of a subtractive valuation semiring S then 𝔞 is a 2-absorbing ideal …
is a nonzero proper ideal of a subtractive valuation semiring S then 𝔞 is a 2-absorbing ideal …
[PDF][PDF] Endomorphism semirings of Dedekind semimodules
AH Alwan, AM Alhossaini - Int. J. Adv. Sci. Technol, 2020 - researchgate.net
The aim of this paper is to study the concept of a semiring of endomorphisms of a 𝐷1
(Dedekind) semimodules (or simply 𝐷1semimodules). Here we prove that whenever𝑀is …
(Dedekind) semimodules (or simply 𝐷1semimodules). Here we prove that whenever𝑀is …
[PDF][PDF] Multiplication semimodules
RR Nazari, S Ghalandarzadeh - Acta Universitatis Sapientiae …, 2019 - sciendo.com
Let S be a semiring. An S-semimodule M is called a multiplication semimodule if for each
subsemimodule N of M there exists an ideal I of S such that N= IM. In this paper we …
subsemimodule N of M there exists an ideal I of S such that N= IM. In this paper we …
Rad-⊕-Supplemented Semimodules over Semirings
AH Alwan - Al-Bahir Journal for Engineering and Pure …, 2024 - bjeps.alkafeel.edu.iq
In this paper, Rad-⊕-supplemented semimodules are defined as generalization of⊕-
supplemented semimodules. Let R be a semiring. An R-semimodule A is called a Rad-⊕ …
supplemented semimodules. Let R be a semiring. An R-semimodule A is called a Rad-⊕ …
Divisibility properties of the semiring of ideals of an integral domain
GW Chang, HK Kim - Algebra Colloquium, 2020 - World Scientific
Let D be an integral domain, F+(D)(resp., f+(D)) be the set of nonzero (resp., nonzero finitely
generated) ideals of D, R 1= f+(D)∪{(0)}, and R 2= F+(D)∪{(0)}. Then (R i,⊕,⊗) for i= 1, 2 is …
generated) ideals of D, R 1= f+(D)∪{(0)}, and R 2= F+(D)∪{(0)}. Then (R i,⊕,⊗) for i= 1, 2 is …