Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Spectra of semimodules
Authors: Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani
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Abstract
The purpose of this paper is to investigate possible structures and useful properties of prime subsemimodules of a semimodule M over a semiring R and show various applications of the properties. The main part of this work is to introduce a new class of semimodules over R called strong primeful R-semimodules. It is shown that every non-zero strong primeful semimodule possesses the non-empty prime spectrum with the surjective natural map. Also, it is proved that this class contains the family of finitely generated R-semimodules properly.E-mail: ,
Fulltext
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Contents
- Transversals in loops. 3. Loop transversals
- Spectra of semimodules
- A Generalization of Hardy-Hilbert's Inequality for Non-homogeneous Kernel
- Topologies on Specg(M)
- Vague Lie Ideals of Lie Algebras
- On conjugate sets of quasigroups
- Categorial aspects of the semireflexivity
- Inclusion Radii for the Zeros of Special Polynomials
- On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals. I
- Semilattices of r-archimedean subdimonoids
