4 citations · 12 across the 7 of their papers we have counts for
7 papers
Short survey about combinatorics on words and algorithmic methods in a ring (draft)
Mikhail Kharitonov
A short survey about combinatorics on words and algorithmic methods in a ring. Special attention is given to Shirshov's results. Adopted for undegraduate students.
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…
Estimates in Shirshov height theorem
Mikhail Kharitonov
In 1993 E. I. Zelmanov asked the following question in Dniester Notebook: "Suppose that is a 2-generated associative ring with the identity . Is it true, that the…
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.…
Subexponential estimations in Shirshov's height theorem (in English)
Alexei Belov, Mikhail Kharitonov
In 1993 E. I. Zelmanov asked the following question in Dniester Notebook: "Suppose that F_{2, m} is a 2-generated associative ring with the identity x^m=0. Is it true, that the nil…
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…