local rings
Numbers of generators of ideals in local rings and a generalized Pascal's Triangle
... Numbers of generators of ideals in local rings and a generalized Numbers of generators of ideals in local rings and a generalized Pascal's Triangle.. Pascal's Triangle.[r] ...
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Finiteness in derived categories of local rings
... Before one can apply a concept from algebra in the topological context one has to express it in a homotopy invariant form. The idea of formulating statements about a ring in terms of its derived category is a familiar ...
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Structure theorems for noncommutative complete local rings
... these rings include those complete local rings B with finitely generated radical such that B/N is a field F which is a finite dimensional normal extension of its prime subfield.. If the [r] ...
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Free resolutions over short Gorenstein local rings
... Gorenstein rings (R, m, k) with m 3 = 0 are known to be good, due to Sj¨odin [22]; see also Avramov, Iyengar, S¸ega ...Gorenstein local rings with m 4 = 0 can exhibit bad behavior, as there exist ...
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Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings
... Hartshorne and Speiser first proved this result in the case where R is local and contains its residue field which is perfect. Lyubeznik applied his theory of F -modules to obtain the result without restriction on ...
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Coefficient subrings of certain local rings with prime power characteristic
... For any positive integers n and r, there exists up to isomorphism a unique r-dimensional separable extension GRp",r of Z/p"Z, which is called the Galois ring of characteristic.. This rin[r] ...
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Petro Mykhailovych Gudivok
... some local rings" at the Leningrad State Pedagogical Institute, followed by the defence of his Doctoral Thesis "Representations of finite groups over local rings" at the Leningrad ...
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A structure theorem for subgroups of GLn over complete local Noetherian rings with large residual image
... complete local rings (see Theorem 29.2 of [4]), every complete local ring with residue field containing k kk is naturally a W ...complete local ring (A, m A ) with maximal ideal m A and a ...
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On hereditary reducibility of 2-monomial matrices over commutative rings
... This paper is devoted to one class of monomial matrices over commu- tative rings which first arose in studying indecomposable representations of finite p-groups over local rings ([1]).. [r] ...
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On n flat modules and n Von Neumann regular rings
... regular rings. Also, for (CH)-rings and local rings, a characterization of weak n-von Neumann regular rings is ...a local Gaussian ring, we show that R is a weak n-von Neumann ...
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Ausoni–Bökstedt duality for topological Hochschild homology
... commutative local ring with residue field ...Noetherian local ring, k is small if and only if R is ...Noetherian local rings, we can always form the Koszul complex K associated to a finite set ...
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gorenstein
... Gorenstein rings evolved starting from a result of Gorenstein about colength of the conductor ideal of the cordinate ring of an irreducible affline plane ...regular local rings, Cohen-Macaulay ...
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On Distinguishing Local Finite Rings from Finite Rings Only by Counting Elements and Zero Divisors
... This allows us to recognize local rings out of finite rings only by counting the number of elements in the ring and the number of zero divisors. This result is inspired by the corre- sponding result ...
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On a common generalization of symmetric rings and quasi duo rings
... b. It is known that R is strongly regular if and only if R is reduced regular. R is left SF-ring if its simple left modules are flat. In 1975, Ramamurthy initiated the study of SF-rings in [10]. It is known that ...
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On structure of certain periodic rings and near rings
... is shown in [2] that if R is periodic, then every element x ∈ R can be written in the form x = b + c, where b ∈ B and c ∈ C. Further, Bell [4] remarked that if, in a peri- odic ring R, each element has a unique ...
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SI-rings and their extensions as 2-primal rings
... prime ideal of R is completely prime in Proposition (1.11) of [12]. Birkenmeier-Heatherly-Lee provided various examples relating to this equivalent condition in [4]. The 2-primal property of O(R), where R is a ...
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Polynomial Rings over Pseudovaluation Rings
... This article concerns the study of skew polynomial rings over PVDs. Let R be a ring and σ be an automorphism of R. We denote the skew polynomial ring R[x,σ ] by S(R). If I is an ideal of R such that I is σ-stable; ...
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Certain near rings are rings, II
... elements of R which do not commute; and let m, n, s, t be positive integers, at least I, then If ns bma n anSb one of which is greater than I, for which ab mt mt-I abmt v If ns > I, then[r] ...
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Kurosh Amitsur Right Jacobson Radical of Type 0 for Right Near Rings
... Let M be a class of near-rings. Classes of near-rings are always assumed to be abstract, that is, they contain the one element near-ring and are closed under isomorphic copies. With every near-ring R, we ...
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Skew Polynomial Rings over Weak sigma-rigid Rings and sigma(*)-rings
... σ-rigid rings; Kwak in [10] introduced σ(∗)-rings and Ouyang in [14] introduced weak σ-rigid rings, where σ is an endomorphism of ring ...These rings are related to 2-primal ...these ...
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