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A note on square-free factorizations
(Łódź University Press, 2017)
We analyze properties of various square-free factorizations in greatest common divisor domains (GCD-domains) and domains satisfying the ascending chain condition for principal ideals (ACCP-domains).
Rings of constants of polynomial derivations and p-bases
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)
We present a survey of results concerning p-bases of rings of constants with respect to polynomial derivations in characteristic p > 0. We discuss characterizations of rings of constants, properties of their generators and ...
A note on divergence-free polynomial derivations in positive characteristic
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)
In this paper we discuss an explicit form of divergence-free polynomial derivations in positive characteristic. It involves Jacobian derivations.