Category Archives: Current semester

On Gao’s conjecture related with finite field high order elements

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Roman Popovych

Department of Specialized Computer Systems,
Lviv Polytechnic National University

 

December 5, 2017 at 15:05 in Lecture Room 377

Abstract of talk

The talk will be devoted to the Gao’s conjecture connected with the construction of elements of provable high multiplicative order in general finite fields.

Semigroups and S-polygons with annihilation conditions

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Yuriy Ishchuk

Department of Algebra and Logic
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv

 

November 21, 2017 at 15:05 in Lecture Room 377

Abstract of talk

The notions of a semi-commutative semigroup and an abelian S-polygon can be introduced by analogy with the notions of semi-commutative, abelian modules and rings.

Semiscalar equivalence of third order polynomial matrices with only one characteristic root

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Bogdan Shavarovskii

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

 

November 7, 2017 at 15:05 in Lecture Room 377

Abstract of talk

The canonical forms of polynomial matrices of the third order with only one characteristic root are established.

Matrix linear equations in two variables over rings

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Vasyl’ Petrychkovych

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

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Nataliia Dzhaliuk

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

 

October 17, 2017 at 15:05 in Lecture Room 377

Abstract of talk

We consider matrix linear equations of form AX+BY=C, AX+YB=C over commutative Bezout rings.
The goal is to present the method of solving such equations using the matrix pair standard form
with respect to generalized equivalence and to establish the particular solutions of the
equation, their construction method and the uniqueness criterion. Moreover, for certain classes of matrix equations
one can find their general solutions.