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Titlebook: Algebra and Operator Theory; Proceedings of the C Yusupdjan Khakimdjanov,Michel Goze,Shavkat A. Ayup Conference proceedings 1998 Springer S

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On Invariants of Second Order Linear Partial Differential Equations in Two Variables,zero, define an analogue of transformations of ”indeterminates” (special transformations of .. and ..) for such a differential field, consider equivalence of such d.e. relative to these transformations of .., .. and multiplications the unknown element of the d.e. by any element of .. This equivalenc
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Lattice-Ordered Groupoids and Their Prime Spectrums,ents in . and describe some their properties..2. Let . be a complete ordered groupoid in which every element is ideal. Denote by .. the lattice of all .-radical elements in .. Then .. satisfies the infinite ∧-distributive condition:.for any .. ∈ ..,. ∈ .. Let . be a complete ordered groupoid in whic
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,Sur Un Probleme D’Elie Cartan, has shown that conversely, the only non-integrable, totally géodésie distributions of hyperplanes in projective space are of this type. The note gives a new proof of Cartan’s result, based on the notion of totally géodesic quasi-connection.
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Classification of Non-Commutative Arens Algebras Associated with Semi-Finite Traces, .. degrees of which are integrable . ∈ [1, ∞). P.Arens had introduced and studied the set.It was demonstrated, in particular, that ..(.) .s a metrizable locally convex ⋆ - algebra with respect to the topology . generated by the system of norms.The additional study of the Arens algebras L.(.) was ma
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Order Unit Space of Type I, with Banach Ball Property,e generated by . and . is a norm-exposed face affinely isomorphic to the closed unit ball in some Hilbert space ([1], corollary 3.12). Conversely, they have proved, that the order unit space . being in spectral duality with its predual space is a JB-algebra if the state space of . has the Hilbert ba
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