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20182020
most citedThe condition for a cyclic code over Z4 of odd length to have a complementary dual

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math.AC2020

Some properties of pseudomeadows

Hamid Kulosman

The purpose of this paper is to study the commutative pseudomeadows, the structure which is defined in the same way as commutative meadows, except that the existence of a multiplic…

math.AC2019

The formula for the largest minimal distance of binary LCD codes

Seth Gannon, Hamid Kulosman

In the 2017 paper by Dougherty, Kim, Ozkaya, Sok, and Solé about the linear programming bound for LCD codes the notion was defined for binary LCD -codes.…

math.AC2019

Some remarks about trunks and morphisms of neural codes

Katie Christensen, Hamid Kulosman

We give intrinsic characterizations of neural rings and homomorphisms between them. Also we introduce the notion of a basic monomial code map and characterize monomial code maps as…

math.AC2018

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…

math.AC2018

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…

math.AC2018

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,…