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As a consequence (see Corollary 6.2), we find that in the case of categories of distributive Ω 2 -groups, such as the categories of groups, rings, Lie algebras, and all the
Theorems such as Theorem 3, Theorem 4, Theorem 5, and Theorem 6 can also be proved for right s -unital rings by the same lines as above employing the necessary variations..
An analogue of the Kunz–Frobenius criterion for the re- gularity of a local ring in a positive characteristic is established for general commutative semigroup rings.. Let S be
In this section we establish necessary and sufficient conditions for the validity of the trace inequality for the Riemann–Liouville and Weyl operators... In order to show
Another example [16, Example 7] shows that there exist operators for which Browder’s theorem holds, while the spectral mapping theorem for the Weyl spectrum fails.. The
We believe that geometric invariants for metrics in the moduli spaces Riem(G, ξ) (as curvature or geodesics) may provide insights for new classifications of Lie
We probed in detail on the specific issues that have emerged from earlier studies as potentially significant areas, in particular: reasons and decision criteria for outsourcing;
Table 2 reports all the accounting consequences of IASC policy for accounting for property, plant, and equipment that differ from US GAAP as reflected in the 20-F reconciliations