Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Matysiak, Lukasz"'
Autor:
Matysiak, Lukasz
Polynomial composites were introduced by Anderson, Anderson, and Zafrullah. In this paper we study many different algebraic properties of polynomial composites like ACCP, atomic, SR property. We study relationships between Noetherian polynomial compo
Externí odkaz:
http://arxiv.org/abs/2207.08719
Autor:
Matysiak, Lukasz
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 pre-Schreier property, a greatest common divisor property and a greate
Externí odkaz:
http://arxiv.org/abs/2107.13539
Autor:
Jankowska, Magdalena, Matysiak, Lukasz
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 domains come in here and there. The second part of the paper contains the re
Externí odkaz:
http://arxiv.org/abs/2105.15145
Publikováno v:
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021
Matrices are very popular and widely used in mathematics and other fields of science. Every mathematician has known the properties of finite-sized matrices since the time of study. In this paper, we consider the basic theory of infnite matrices. So f
Externí odkaz:
http://arxiv.org/abs/2104.13404
Autor:
Matysiak, Lukasz
Polynomial composites were introduced by Anderson, Anderson, and Zafrullah. Over time, composites have appeared in many different papers, but they have not been sorted out in the algebra world. This paper is another part of the study of composites as
Externí odkaz:
http://arxiv.org/abs/2104.09657
Autor:
Matysiak, Lukasz
In this paper we consider the construction of K + M, where K is the domain, M is the maximal ideal of a some ring of polynomials with coefficients from the field L, where K is its subring. In addition to the usual domains, we also consider the Noethe
Externí odkaz:
http://arxiv.org/abs/2011.12777
Autor:
Matysiak, Łukasz
In this paper I consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions. I prese
Externí odkaz:
http://arxiv.org/abs/2011.09904
Autor:
Matysiak, Lukasz
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 start with the examination of group, ring, modules properties, graded, but
Externí odkaz:
http://arxiv.org/abs/2006.14948
We discuss various square-free factorizations in monoids in the context of: atomicity, ascending chain condition for principal ideals, decomposition, and a greatest common divisor property. Moreover, we obtain a full characterization of submonoids of
Externí odkaz:
http://arxiv.org/abs/1812.11882
We analyze properties of various square-free factorizations in greatest common divisor domains and domains satisfying the ascending chain condition for principal ideals.
Comment: 7 pages. The content of this paper had formed Section 4 of first v
Comment: 7 pages. The content of this paper had formed Section 4 of first v
Externí odkaz:
http://arxiv.org/abs/1609.09464