Bott periodicity for the unitary and symplectic groups is fundamental to topological K-theory. Analogous to unitary topological K-theory, for algebraic K-groups with …nite coe¢ cients, similar results are consequences of the Milnor and Bloch-Kato conjectures, a¢ rmed by Voevodsky, Rost and others. More generally, we prove that periodicity of the algebraic K-groups for any ring implies periodici...

We investigate the relationship between level of a bounded complex over commutative ring with respect to class Gorenstein projective modules and other invariants or ring, such as dimension, Krull dimension. The results build upon work done by J. D. Christensen [7], H. Altmann et al. [1], Avramov [4] for levels finitely generated modules.

We identify several orbital resonances involving the newly discovered satellites, 1986U7 and 1986U8, and the Uranian rings. The most important resonances in eccentric rings are known as eccentric resonances and are generalizations of the more familiar Lindblad resonances. In keeping with the notation established for Lindblad resonances, we distinguish inner and outer eccentric resonances by the...

We construct a supergravity solution describing a charged rotating black ring with S2 × S1 horizon in a five dimensional asymptotically flat spacetime. In the neutral limit the solution is the rotating black ring recently found by Emparan and Reall. We determine the exact value of the lower bound on J2/M3, where J is the angular momentum and M the mass; the black ring saturating this bound has ...

We use quivers and their representations to bring new perspectives on the subregular J-ring JC of a Coxeter system (W,S), subring Lusztig's J-ring. prove that is isomorphic suitable quotient path algebra double quiver (W,S). Up Morita equivalence, such quotients include group algebras all free products finite cyclic groups. then study category mod-AK dimensional right modules AK=K⊗ZJC over an a...

I would like to thank Mr J. R. Armstrong for permission to publish this case. References BROOKES, M. (1960) Sequelae of experimental partial ischaemia in long bones of the rabbit. J. Anat. (Lond.), 94, 552. BROWNE, D. (1936) Congenital deformities of mechanical origin. Proc. R. Soc. Med. 29, 1409. RING, P.A. (1959) Congenital shortening of the femur. J. Bone Jt Surg. 41 B, 73. RING, P.A. (1961)...

Let R be a ring with Jacobson ideal J and center C. McCoy and Montgomery introduced the concept of a p-ring (p prime) as a ring R of characteristic p such that xp = x for all x in R. Thus, Boolean rings are simply 2-rings (p = 2). It readily follows that a p-ring (p prime) is simply a ring R of prime characteristic p such that R ⊆ N + Ep, where N = {0} and Ep = {x ∈ R : xp = x}. With this as mo...

The rings considered in this article are commutative with identity. For an ideal $I$ of a ring $R$, we denote the annihilator $R$ by $Ann(I)$. An is said to be exact annihilating if there exists non-zero $J$ such that $Ann(I) = J$ and $Ann(J) I$. set all ideals $\mathbb{EA}(R)$ $\mathbb{EA}(R)\backslash \{(0)\}$ $\mathbb{EA}(R)^{*}$. Let $\mathbb{EA}(R)^{*}\neq \emptyset$. With [Exact Annihilat...

in this paper, we investigate various kinds of extensions of twin-good rings. moreover, we prove that every element of an abelian neat ring r is twin-good if and only if r has no factor ring isomorphic to z2  or z3. the main result of [24] states some conditions that any right self-injective ring r is twin-good. we extend this result to any regular baer ring r by proving that every element of a...

[1] Analysis of high resolution Moon Mineralogy Mapper (M) data reveals the presence of a prominent Mg‐spinel‐rich lithology in the central peaks of Theophilus crater on the lunar nearside. Other peak‐associated lithologies are comprised of plagioclase, olivine, and pyroxene‐bearingmaterials. A consistent spatial association of Mg‐spinel with mafic‐free anorthosite is recognized. Documentation ...