Year: 2010
Type: article
Abstract: In this paper, we introduce a partitioning subsemimodule of a semimodule over a semiring which is useful to develop the quotient structure of semimodule.Indeed we prove : 1) The quotient semimodule M/N (Q) is essentially independent of choice of Q.3) Every partitioning subsemimodule is subtractive.4) Let N be a Q-subsemimodule of an R-semimodule M .Then A is a subtractive subsemimodule of M with N ⊆ A if and only if A/N (Q∩A) = {q + N : q ∈ Q ∩ A} is a subtractive subsemimodule of M/N (Q) .
Source: Kyungpook mathematical journal
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2084826720