Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Ideal Theory in Commutative Semirings.
Authors: Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani
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Abstract
In this paper, we analyze some results on ideal theory of commutative semirings with non-zero identity analogues to commutative rings with non-zero identity. Here we will make an intensive examination of the notions of Noetherian semirings, Artinian semirings, local semirings and strongly irreducible ideals in commutative semirings. It is shown that this notion inherits most of essential properties of strongly irreducible ideals of a commutative rings with non-zero identity. Also, the relationship among the families of primary ideals, irreducible ideals and strongly irreducible ideals of a semiring R is considered.E-mail:
Fulltext
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Contents
- Fuzzy subquasigroups with respect to a s-norm.
- Ideal Theory in Commutative Semirings.
- A closed form asymptotic solution for the FitzHugh-Nagumo model.
- Non-fundamental 2-isohedral tilings of the sphere.
- Discrete Optimal Control Problem with Varying Time of States Transactions of Dynamical System and Algorithm for its solving.
- Measure of quasistability of a vector integer linear programming problem with generalized principle of optimality in the Helder metric.
- Moments of the Markovian random evolutions in two and four dimensions.
- A virtual analog of Pollaczek-Khintchin transform equation.
- Resolvability of some special algebras with topologies.
- Groups with many hypercentral subgroups.
- The Euler Tour of n-Dimensional Manifold with Positive Genus.
- Symmetric random evolution in the space ℜ6.
- On numerical algorithms for solving multidimensional analogs of the Kendall functional equation.
- Classification of Aff(2, ℜ)-orbit's dimensions for quadratic differential system.
- Professor Mihail Popa - 60th anniversary.
- Academician Radu Miron - Eighty Years of Life and Sixty Years of Efforts.
