О наследственности радикалов колец типа .
А.С. Марковичев (1978)
Algebra i Logika
Similarity:
А.С. Марковичев (1978)
Algebra i Logika
Similarity:
Rüdiger Göbel, Daniel Herden, Saharon Shelah (2009)
Journal of the European Mathematical Society
Similarity:
Tsiu-Kwen Lee, Yiqiang Zhou (2008)
Colloquium Mathematicae
Similarity:
A ring R is called Armendariz (resp., Armendariz of power series type) if, whenever in R[x] (resp., in R[[x]]), then for all i and j. This paper deals with a unified generalization of the two concepts (see Definition 2). Some known results on Armendariz rings are extended to this more general situation and new results are obtained as consequences. For instance, it is proved that a ring R is Armendariz of power series type iff the same is true of R[[x]]. For an injective endomorphism...
Kleinfeld, Erwin (1959)
Portugaliae mathematica
Similarity:
Ю.Л. Ершов (1993)
Algebra i Logika
Similarity:
Fabrice Bethuel, G. Orlandi, Didier Smets (2004)
Journal of the European Mathematical Society
Similarity:
We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross–Pitaevskii (GP) equation in dimension . We also extend the asymptotic analysis of the free field Ginzburg–Landau equation to a larger class of equations, including the Ginzburg–Landau equation for superconductivity as well as the traveling wave equation for GP. In particular we rigorously derive a curvature equation for the concentration set (i.e. line vortices if ).
В.К. Харченко, V. K. Charčenko, V. K. Harčenko, V. K. Charčenko (1997)
Algebra i Logika
Similarity:
К.А. Павлов, K. A. Pavlov, K. A. Pavlov, K. A. Pavlov (1995)
Algebra i Logika
Similarity:
Xiaorui Zhai, Chunxia Zhang (2016)
Czechoslovak Mathematical Journal
Similarity:
Let be an associative ring with identity and a class of -modules. In this article: we first give a detailed treatment of Cartan-Eilenberg complexes and extend the basic properties of the class to the class ). Secondly, we study and give some equivalent characterizations of Cartan-Eilenberg projective, injective and flat complexes which are similar to projective, injective and flat modules, respectively. As applications, we characterize some classical rings in terms of these...
Mohammad Ashraf (1995)
Archivum Mathematicum
Similarity:
Let be fixed positive integers, and let be a ring with unity in which for every in there exist integers such that either or for all . In the present paper it is shown that is commutative if it satisfies the property (i.e. for all implies ).
M. Tamer Koşan, Tsiu-Kwen Lee, Yiqiang Zhou (2013)
Colloquium Mathematicae
Similarity:
Let R[x] and R[[x]] respectively denote the ring of polynomials and the ring of power series in one indeterminate x over a ring R. For an ideal I of R, denote by [R;I][x] the following subring of R[[x]]: [R;I][x]: = : ∃ 0 ≤ n∈ ℤ such that , ∀ i ≥ n. The polynomial and power series rings over R are extreme cases where I = 0 or R, but there are ideals I such that neither R[x] nor R[[x]] is isomorphic to [R;I][x]. The results characterizing polynomial rings or power series rings with...