Tsygfnivska I. Indices of strongly connected oriented graphs and partially ordered sets

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U004683

Thesis Registration Form

0412U004683.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

12-11-2012

Specialized Academic Board

Д26.001.18

Essay

Thesis deals with the relations between the theory of graphs and structural theory of rings. We describe $Q$-equivalent finite partially ordered sets. We give a numerical criterion of $Q$-equivalence of partially ordered sets of 5 elements with connected diagram. We consider rigid quivers and prove that the quiver associated with a finite partially ordered set with a unique minimal element is rigid. We describe up to isomorphism all tiled orders in $M_5(D)$ of finite global dimension.

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Files

aref.pdf

dis.pdf

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