46 citations · 111 across the 33 of their papers we have counts for
35 papers
N-ary groups of panmagic permutations from the Post coset theorem
Sergiy Koshkin, Jaeho Lee
Panmagic permutations are permutations whose matrices are panmagic squares, better known as solutions to the modular n-queens problem, configurations of n non-attacking queens on a…
Panmagic permutations and N-ary groups
Sergiy Koshkin, Jaeho Lee
Panmagic permutations are permutations whose matrices are panmagic squares. Positions of 1-s in the latter describe maximal configurations of non-attacking queens on a toroidal che…
Functional completeness and primitive positive decomposition of relations on finite domains
Sergiy Koshkin
We give a new and elementary construction of primitive positive decomposition of higher arity relations into binary relations on finite domains. Such decompositions come up in appl…
Logical reduction of relations: from relational databases to Peirce's reduction thesis
Sergiy Koshkin
We study logical reduction (factorization) of relations into relations of lower arity by Boolean or relative products that come from applying conjunctions and existential quantifie…
Is Peirce's reduction thesis gerrymandered?
Sergiy Koshkin
We argue that traditional formulations of the reduction thesis that tie it to privileged relational operations do not suffice for Peirce's justification of the categories, and invi…
Can the quadratrix truly square the circle?
Luis Cruz, Sergiy Koshkin
The quadratrix received its name from the circle quadrature, squaring the circle, but it only solves it if completed by taking a limit, as pointed out already in antiquity. We ask…