Multiplication (m,n)-hypermodules

2022/06/03 by Anbarloei, M.
#Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2206.01489

Abstract

The concept of multiplication (m,n)-hypermodules was introduced by Ameri and Norouzi in \citesorc2. Here we intend to investigate extensively the multiplication (m,n)-hypermodules. Let (M,f,g) be a (m,n)-hypermodule (with canonical (m,n)-hypergroups) over a commutative Krasner (m,n)-hyperring (R,h,k). A (m, n)-hypermodule (M, f, g) over (R, h, k) is called a multiplication (m, n)-hypermodule if for each subhypermodule N of M, there exists a hyperideal I of R such that N =g(I, 1^(n-2), M).

Related

• Multiplication Semimodules
• Classical prime subhypermodules and related classes
• δ-r-Hyperideals and ϕ-δ-r-Hyperideals of Commutative Krasner Hyperrings
• Merging N-hyperideals and J-hyperideals in one frame
• Krasner (m,n)-hyperring of fractions