3 citations · 8 across the 7 of their papers we have counts for
5 papers · 1 filter
The number of addends in the decomposition of an element of a numerical semigroup into atoms
Hamid Kulosman
We prove that for every nonempty set of integers bigger than , which has at most three elements, there exists a numerical semigroup and an element of such that a…
A new simple example of an atomic domain which is not ACCP
Hamid Kulosman
We give a new simple example of an atomic domain which is not ACCP. Our example is a monoid domain , where is a field and is a submonoid of the additive monoid of n…
A new characterization of principal ideal domains
Katie Christensen, Ryan Gipson, Hamid Kulosman
In 2008 N.~Q.~Chinh and P.~H.~Nam characterized principal ideal domains as integral domains that satisfy the follo\-wing two conditions: (i) they are unique factorization domains,…
For which additive submonoids of nonnegative rationals is AP?
Ryan Gipson, Hamid Kulosman
We characterize the submonoids of the additive monoid $\Q_+$ of nonnegative rational numbers for which the irreducible and the prime elements in the monoid domain coin…
Polarization of neural codes
Katie Christensen, Hamid Kulosman
The neural rings and ideals as an algebraic tool for analyzing the intrinsic structure of neural codes were introduced by C.~Curto et al. in 2013. Since then they were investigated…