Results 41 to 50 of about 42,411 (276)
Some algebras similar to the 2x2 Jordanian matrix algebras
, 2016 The impetus for this study is the work of Dumas and Rigal on the Jordanian deformation of the ring of coordinate functions on $2\times 2$ matrices. We are also motivated by current interest in birational equivalence of noncommutative rings.
Gaddis, Jason, Price, Kenneth L.
core +1 more source
Derivations of Skew Polynomial Rings
Journal of Algebra, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osborn, J.M., Passman, D.S.
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Skew Polynomial Rings: the Schreier Technique [PDF]
Acta Mathematica Vietnamica, 2022 AbstractSchreier bases are introduced and used to show that skew polynomial rings are free ideal rings, i.e., rings whose one-sided ideals are free of unique rank, as well as to compute a rank of one-sided ideals together with a description of corresponding bases. The latter fact, a so-called Schreier-Lewin formula (Lewin Trans. Am. Math.
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Computation of nonlinear eigenvalues based on the Ore determinant: preliminary results [PDF]
Proceedings of the Estonian Academy of SciencesThe concept of eigenvalues has recently been generalized for nonlinear systems, but the method to find them is missing. Unlike the linear case, now one has to deal with non-commutative polynomials from the Ore ring. In the paper, the Ore determinant of a
Miroslav Halás +3 more
doaj +1 more source
Free structures in division rings
, 2013 Makar-Limanov's conjecture states that if a division ring D is finitely generated and infinite dimensional over its center k then D contains a free k-subalgebra of rank 2.
Júnior, Renato Fehlberg
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Indagationes Mathematicae (Proceedings), 1968 ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai∈K,where K is a (skew) field and the ai depend on a ∈ K. Under certain conditions the rings appear to be non-commutative principal ideal rings with a unique factorization.
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Uniserial Rings and Skew Polynomial Rings
Tokyo Journal of Mathematics, 1984 If \(\tau\) is an automorphism of a division ring D then, for each positive integer c, the factor ring \(S/x^ cS\) of the skew polynomial ring \(S=D[x;\tau]\) is a local uniserial ring of split type. The purpose of this paper is to establish a necessary and sufficient condition on a local uniserial ring R for R to be isomorphic to a ring of the above ...
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Fermi Surface Nesting and Anomalous Hall Effect in Magnetically Frustrated Mn2PdIn
Advanced Functional Materials, EarlyView.Mn2PdIn, a frustrated inverse Heusler alloy, showing electronic‐structure driven anomalous Hall effect with Weyl crossings, Fermi‐surface nesting and near‐zero magnetization ideal for low‐magnetization spintronics. Abstract Noncollinear magnets with near‐zero net magnetization and nontrivial bulk electronic topology hold significant promise for ...
Afsar Ahmed +7 more
wiley +1 more source
A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings
Open Mathematics, 2015 Signature-based algorithms are efficient algorithms for computing Gröbner-Shirshov bases in commutative polynomial rings, and some noncommutative rings. In this paper, we first define skew solvable polynomial rings, which are generalizations of solvable ...
Zhao Xiangui, Zhang Yang
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HOW A NONASSOCIATIVE ALGEBRA REFLECTS THE PROPERTIES OF A SKEW POLYNOMIAL [PDF]
Glasgow Mathematical Journal, 2018 Let D be a unital associative division ring and D[t, σ, δ] be a skew polynomial ring, where σ is an endomorphism of D and δ a left σ-derivation.
C. Brown, S. Pumplün
semanticscholar +1 more source