4 citations · 12 across the 7 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
math.CO2015
Estimates related to Shirshov height theorem (PhD Thesis)
Mikhail Kharitonov
In 1993 E. I. Zelmanov asked the following question in Dniester Notebook: Suppose that is a -generated associative ring with the identity . Is it true, that…
math.CO2013★ 2 cited
Estimates on the number of partially ordered sets
Mikhail Kharitonov
Partially ordered sets of type (k, n) are the sets such that a) cardinality of each set is n, b) dimension of each set is two, c) length of the maximal antichain in each set is k.…
math.CO2011★ 3 cited
Estimations of the particular periodicity in case of the extremal periods in Shirshov's Height theorem
Mikhail Kharitonov
Let us recall the well-known Shirshov's Height Theorem. "Let A be a finitely generated algebra of degree d. Then there exists a finite set Y which is the subset of A that A has and…