[PDF] Top 20 Ore Extensions over ($\sigma, \delta$)-Rings
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Ore Extensions over ($\sigma, \delta$)-Rings
... All rings are associative with identity 1 6 = 0, unless otherwise stated. The prime radical and the set of nilpotent elements of R are denoted by P(R) and N(R) respectively. The ring of integers is denoted by Z ... See full document
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Transparent Ore Extensions over Sigma-(∗)-rings
... ideal of R such that σ(I) = I and δ(I ) ⊆ I, then O(I ) denotes I [x ; σ, δ], which is an ideal of O(R). In case δ = 0, we denote R[x ; σ] by S(R). If J is an ideal of R such that σ(J ) = J, then S(J) denotes J [x ; σ], ... See full document
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Prime radical of Ore extensions over \(\delta\)-rigid rings
... note that any reduced ring is 2-primal, and any commutative ring is also 2-primal. The nature of nil radical, prime ideals, minimal prime ideals, prime radical of R[x, σ, δ] has been investigated, and relations between R ... See full document
6
Ore Extensions over Weak (Sigma)-rigid Rings and (sigma(*))-rings
... 2-primal rings have been studied in recent years and are being treated by authors for different ...the Ore extension R[x ; σ, δ] will or will not be 2-primal depending on the δ-stability of the maximal ... See full document
9
On certain classes of Galois extensions of rings
... G over S and S ∗ G were studied in ...Galois extensions of rings and also further study the properties of S ...Galois extensions containing all the Azumaya Galois ... See full document
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SI-rings and their extensions as 2-primal rings
... The field of rational numbers, the field of complex numbers and the set of positive integers are denoted by Q , C and N respectively unless otherwise stated. Spec(R) denotes the set of prime ideals of R. MinSpec(R) ... See full document
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MODULES OVER LOCALIZED GROUP RINGS FOR GROUPS MAPPING ONTO FREE GROUPS
... When working with a group ring k [G], we often do not want to localize the entire ring, but rather just some subset. We are primarily interested in examples where G = H o F , so that k [H] is an Ore domain, and F ... See full document
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On Pseudo-valuation rings and their extensions
... We denote the Ore extension R[x; σ, δ] by O(R). If I is an ideal of R such that I is σ-stable; i.e. σ(I) = I and I is δ-invariant; i.e. δ(I ) ⊆ I, then we denote I [x; σ, δ] by O(I ). We would like to mention that ... See full document
6
Filtered and graded Procesi extensions of rings
... Procesi extensions with respect to affine schemes: If f ∈ h(G(R)) ∩ Z (G(R)) then, by the exactness of the localization functors, G(ϕ) = T : G(R) → G(S) induces a graded Procesi extension, over the ... See full document
7
The Tarski Theorems and Elementary Equivalence of Group Rings
... equations over group rings [3], we examine and survey extensions of Tarksi-like results to the collection of group rings and examine relationships between the universal and elementary theories ... See full document
15
On weak center Galois extensions of rings
... algebra over C G with Galois group G| C G) is generalized to a weak center Galois extension with group G, where B is called a weak center Galois extension with group G if BI i = Be i for some idempotent in C and I ... See full document
7
Skew Polynomial Extensions over Zip Rings
... In the next result we obtain a necessary and sufficient condition for Rx; σ, δ to be left zip, when σ is an endomorphism of R using the skew version of Armendariz rings of 19. Theorem 2.9. Let σ be an endomorphism ... See full document
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Associated prime ideals of weak \(\sigma\)-rigid rings and their extensions
... Motivated by these developments, I investigated the nature of associ- ated prime ideals of R[x; σ, δ] over a right Noetherian ring R and their relation with those of the coefficient ring R. In this way I ... See full document
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Skew-Laurent Rings over $\sigma(*)$-rings
... 2-primal rings have been studied in recent years and the 2-primal property is being studied for various types of ...the Ore extension R[ x ; σ , δ] will or will not be 2-primal depending on the δ -stability ... See full document
8
Skew Polynomial Rings over Weak sigma-rigid Rings and sigma(*)-rings
... of rings, for example the existence of quotient rings or more particularly the existence of Artinian quotient rings ...and extensions of ideals arising thereby appear in Chapter 9 of ... See full document
7
On Azumaya Galois extensions and skew group rings
... Abstract. Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special ... See full document
5
A Micropower Multi Decade Dynamic Range Current-Mode True RMS-to-DC Converter
... of sigma- delta data converter [3], MOS translinear [8], [12], [14] or class-AB tranconductance [7] ...Employing sigma- delta converter needs a large number of transistors, switches, and ... See full document
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Graphical User Interfacing of Test Stimulus Generation for Sigma Delta ADC Built in Self Test
... To test analog devices, it is necessary to have trustful and highly configurable analog stimulus and reference signals. In this section, we present a sigma-delta modulation based signal generator to ... See full document
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On Extensions of Right Symmetric Rings without Identity
... Let us call a ring R (without identity) to be right symmetric if for any triple a b c , , ∈ R abc = 0 then acb = 0. Such rings are neither symmetric nor reversible (in general) but are semicommuta- tive. With an ... See full document
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Review of Sigma-Delta ADC
... of sigma-delta ADC presented in this paper, it is concluded that various applications requires sigma-delta ADCs with different ...loop sigma-delta modulator is best suited for ... See full document
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