A readable draft of “Multidimensional Funcoids”
I created a new draft of my article Multidimensional Funcoids article, which is probably has become readable now. Nevertheless there may be many errors yet. Now I am going to concentrate my efforts into putting my research in a book form for participating in EMS Monograph Award.
Errata for Filters on Posets and Generalizations
I’ve uploaded a little errata for Filters on Posets and Generalizations article published in IJPAM.
The article about ordinal numbers and product
I’ve sent this article to an open access peer reviewed journal: A New Kind of Product of Ordinal Number of Relations having Ordinal Numbers of Arguments (the article is available online).
My first article is published
My first math article (titled “Filters on Posets and Generalizations”) was recently published in a peer reviewed, open access journal. Why I published my first research article only in the age of 31? See my short autobiography.
I submit theory of filters to IJPAM
I previously submitted my article about filters on posets to Armenian Journal of Mathematics. I waited for review of my article about 17 months and they haven’t replied. So I withdraw my submission and now am submitting to an other journal, International Journal of Pure and Applied Mathematics.
Filters on Posets and Generalizations updated
I uploaded updated version of Filters on Posets and Generalizations article and sent it to Armenian Journal of Mathematics for peer review. The main change in this version is a counter-example to the conjecture, that every weak partition of a filter object on a set is a strong partition. This example was suggested me by […]
“Filters on Posets and Generalizations” updated
I updated my online draft of the “Filters on Posets and Generalizations” article, while a former version of it was submitted as a preprint into Armenian Journal of Mathematics. The main new feature of my online draft is the section “Complementive filter objects and factoring by a filter” added and also a counterexample against this […]
Two new conjectures in “Funcoids and Reloids” article
Though my Funcoids and Reloids article was declared as a preprint candidate, I made a substantial addendum to it: Added definitions of injective, surjective, and bijective morphisms. Added a conjecture about expressing composition of reloids through atomic reloids. Added a conjecture characterizing monovalued reloids with atomic domains.
Funcoids and Reloids updated
I updated the the online draft of “Funcoids and Reloids” article. This is almost ready preprint (which I will be able to submit after I will have “Filters on Posets and Generalizations” published). The most notable change in this edition is corrected an error in the proof of the theorem which characterizes monovaluedness of funcoids. […]
Article sent to Rejecta
As I wrote before my preprint Connectors and generalized connectedness was rejected, saying that I do not relate it with existing research. I decided to sent the manuscript to Rejecta Mathematica. I submitted it to Rejecta Mathematica yesterday. Previously I was going to study category theory and then rewrite my article in order to resubmit […]