Semiring analogue of dmp-ring


Ivanna Melnyk

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

November 15, 2016 at 15:05 in Lecture Room 377

Abstract of talk

We will present some new examples and prove the properties of semiring differential ideals, as well as radical differential ideals of commutative differential semirings.

It will be shown that any radical differential subtractive ideal is an intersection of prime differential subtractive ideals. Finally, we characterize differential semirings in which the radical of every differential subtractive ideal is again differential.

Ivanna Melnyk
November 15, 2016