Results 21 to 30 of about 19,413 (252)
Twisted vertex operators and unitary Lie algebras [PDF]
, 2014 A representation of the central extension of the unitary Lie algebra coordinated with a skew Laurent polynomial ring is constructed using vertex operators over an integral Z_2-lattice.
Chen, Fulin +3 more
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Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
International Journal of Mathematics and Mathematical Sciences, 2008 We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R.
E. Hashemi
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Some Notes on Semiabelian Rings
International Journal of Mathematics and Mathematical Sciences, 2011 It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
Junchao Wei, Nanjie Li
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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj
Derivations of skew polynomial rings
Publications de l'Institut Mathematique, 2002 Let \(R\) be a commutative ring of characteristic zero, \(d_1,d_2,\dots,d_n\) commuting derivations of \(R\), and \(A_n=R[X_1,X_2,\dots,X_n;d_1,d_2,\dots,d_n]\) a skew polynomial ring in commuting variables \(X_1,X_2,\dots,X_n\) over \(R\). The authors describe derivations of \(A_n\) and examine the lattice of its ideals, under certain conditions.
Hamaguchi, Naoki, Nakajima, Atsushi
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A Matrix Ring Description for Cyclic Convolutional Codes
, 2007 In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring.
Gluesing-Luerssen, Heide +1 more
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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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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.
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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
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