Results 81 to 90 of about 18,021 (212)
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
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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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NIL DERIVATIONS AND d-IDEALS ON POLYNOMIAL RINGS
BarekengLet be a ring. An additive mapping is called derivation if satisfies Leibniz's rule, i.e., for every In a special case, for each there exists a positive integer which depends on such that , then is called as a nil derivation on .
Ditha Lathifatul Mursyidah +3 more
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On λ-rings and topological realization
International Journal of Mathematics and Mathematical Sciences, 2006 It is shown that most possibly truncated power series rings admit uncountably many filtered λ-ring structures. The question of how many of these filtered λ-ring structures are topologically realizable by the K-theory of torsion-free spaces is also ...
Donald Yau
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Polynomial rings over a Hilbert ring.
Michigan Mathematical Journal, 1984 A commutative ring R with identity is called a Hilbert ring if every prime ideal of R is an intersection of maximal ideals. The paper discusses some open questions surrounding an incorrect result by R. Gilmer, which asserts that if R is a Hilbert ring and if \(\{X_{\lambda}\}_{\lambda \in \Lambda}\) is an infinite set of indeterminates such that for ...
openaire +3 more sources
On annihilator ideals of a polynomial ring over a noncommutative ring
, 2002 Let R be a ring and let R[x] denote the polynomial ring over R. We study relations between the set of annihilators in R and the set of annihilators in R[x]
Yasuyuki Hirano, Hirano, Yasuyuki
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Some strange behaviors of the power series ring R[[X]]
ITM Web of Conferences, 2018 Let R be a commutative ring with identity. Let R[X] and R[[X]] be the polynomial ring and the power series ring respectively over R. Being the completion of R[X] (under the X-adic topology), R[[X]] does not always share the same property with R[X].
Phan Thanh Toan
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Free field primaries in general dimensions: counting and construction with rings and modules
Journal of High Energy Physics, 2018 We define lowest weight polynomials (LWPs), motivated by so(d, 2) representation theory, as elements of the polynomial ring over d × n variables obeying a system of first and second order partial differential equations.
Robert de Mello Koch, Sanjaye Ramgoolam
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Canonical bases for subalgebras of factor algebras [PDF]
Computer Science Journal of Moldova, 1999 We introduce canonical bases for subalgebras of quotients of the commutative and non-commutative polynomial ring. The usual theory for Grobner bases and its counterpart for subalgebras of polynomial rings, also called SAGBI bases, are combined to obtain ...
P. Nordbeck
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Stability vs. optimality in selfish ring routing [PDF]
We study the asymmetric atomic selfish routing in ring networks, which has diverse practical applications in network design and analysis. We are concerned with minimizing the maximum latency of source-destination node-pairs over links with linear ...
Hu, Xiaodong +3 more
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