30 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
9 papers · 1 filter
Amount algebras
Peyman Nasehpour
In this paper, as a generalization to content algebras, we introduce amount algebras. Similar to the Anderson-Badawi conjecture, we prove that under some co…
Algebraic properties of expectation semirings
Peyman Nasehpour
In this paper, we investigate the algebraic properties of the expectation semirings which are semiring version of the concept of trivial extension in ring theory. We discuss ideals…
Some remarks on the comparability of ideals in semirings
H. Behzadipour, P. Nasehpour
A semiring is uniserial if its ideals are totally ordered by inclusion. First, we show that a semiring is uniserial if and only if the matrix semiring is uniserial. As…
A computational criterion for the irrationality of some real numbers
Peyman Nasehpour
In this paper, we compute the asymptotic average of the decimals of some real numbers. With the help of this computation, we prove that if a real number cannot be represented as a…
Some remarks on semirings and their ideals
Peyman Nasehpour
In this paper, we give semiring version of some classical results in commutative algebra related to Euclidean rings, PIDs, UFDs, G-domains, and GCD and integrally closed domains.
Auslander Modules
Peyman Nasehpour
In this paper, we introduce the notion of Auslander modules, inspired from Auslander's zero-divisor conjecture (theorem) and give some interesting results for these modules. We als…
Pseudocomplementation and Minimal Prime Ideals in Semirings
Peyman Nasehpour
In the first section of the present work, we introduce the concept of pseudocomplementation for semirings and show semiring version of some known results in lattice theory. We also…
On zero-divisors of semimodules and semialgebras
Peyman Nasehpour
In Section 1 of the paper, we prove McCoy's property for the zero-divisors of polynomials in semirings. We also investigate zero-divisors of semimodules and prove that under suitab…
Finitely Additive, Modular and Probability Functions on Pre-semirings
Peyman Nasehpour, Amir Hossein Parvardi
In this paper, we define finitely additive, probability and modular functions over semiring-like structures. We investigate finitely additive functions with the help of complemente…