4 citations · 6 across the 4 of their papers we have counts for
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On square-free and radical factorizations and existence of some divisors
Lukasz Matysiak
We discuss various square-free and radical factorizations and existence of some divisors in monoids in the context of: atomicity, ascending chain condition for principal ideals, a…
A polynomial composites and monoid domains as algebraic structures and their applications
Magdalena Jankowska, Lukasz Matysiak
This paper contains the results collected so far on polynomial composites in terms of many basic algebraic properties. Since it is a polynomial structure, results for monoid domain…
Polynomial composites and certain types of fields extensions
Łukasz Matysiak
In this paper I consider polynomial composites with the coefficients from . We already know many properties, but we do not know the answer to the question of whether th…
On properties of composites and monoid domains
Lukasz Matysiak
In this paper I consider all possible properties from commutative algebra for polynomial composites and monoid domains. The aim is full characterization of these structures. I star…