Results 11 to 20 of about 611,831 (181)
On the (non)rigidity of the Frobenius Endomorphism over Gorenstein Rings [PDF]
It is well-known that for a large class of local rings of positive characteristic, including complete intersection rings, the Frobenius endomorphism can be used as a test for finite projective dimension.
Dao, H., Li, J., Miller, C.
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Local endomorphism near-rings [PDF]
The purpose of this paper is to study the consequences of an endomorphism near-ring of a finite group being a local near-ring and the existence of such near-rings. As we shall see in Section 2, an endomorphism near-ring of a finite group being local gives us some information about both the structure of the group (Theorem 2.2) and the automorphisms of ...
Lyons, Carter G., Peterson, Gary L.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özen, Tahire, Yıldırım, K. M.
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Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A. +1 more
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Ring-originated anisotropy of local structural ordering in amorphous and crystalline silicon dioxide
Rings comprising chemically bonded atoms are essential topological motifs for the structural ordering of network-forming materials. Quantification of such larger motifs beyond short-range pair correlation is essential for understanding the linkages ...
Motoki Shiga +3 more
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Locally Noetherian Commutative Rings [PDF]
This paper centers around the theorem that a commutative ring R R is noetherian if every R P , P {R_P},P prime, is noetherian and every finitely generated ideal of R R has only finitely many weak-Bourbaki associated primes. A more
Heinzer, William, Ohm, Jack
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The Graph of Annihilating Ideals [PDF]
Let R be a commutative ring with identity and AG(R) be the set of ideals with non-zero annihilators. The annihilating ideal graph AG(R) is a graph of vertex set AG (R){(0)} and two distinct ideal vertices I and J are adjacent if and ...
Nazar Shuker, Fryad Abdulqadir
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We prove Gersten’s conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As an application, we obtain the local-global principle for Galois cohomology over mixed characteristic two ...
Sakagaito, Makoto
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On the properties of weak CM rings
In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
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Unitary groups over local rings
Structural properties of unitary groups over local, not necessarily commutative, rings are developed, with applications to the computation of the orders of these groups (when finite) and to the degrees of the irreducible constituents of the Weil ...
Cruickshank, J. +3 more
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