Abstract Let R be a discrete valuation domain with field of fractions Q and maximal ideal generated by $\pi $ . $\Lambda an -order such that $Q\Lambda is separable -algebra. Maranda showed there exists $k\in \mathbb {N}$ for all -lattices L M , if $L/L\pi ^k\simeq M/M\pi ^k$ then $L\simeq M$ Moreover, complete indecomposable -lattice, also indecomposable. We extend Maranda’s theorem to the clas...

We give new a proof of the general Briançon-Skoda theorem about ideals of holomorphic functions by means of multivariable residue calculus. The method gives new variants of this theorem for products of ideals. Moreover, we obtain a related result for the ideal generated by the the subdeterminants of a matrix-valued generically surjective holomorphic function, generalizing the duality theorem fo...

We demonstrate the versatility of tangle-tree duality theorem for abstract separation systems by using it to prove tree-of-tangles theorems. This approach allows us strengthen some existing theorems bounding node degrees in them. also present a slight strengthening and simplified proof theorem, which derive tangles different orders.

Abstract In this paper, we generalize Schur–Weyl duality and Morita Theorem on associative algebras to those H -pseudoalgebras. Meanwhile, get a plenty of -pseudoalgebras over cocommutative Hopf algebra

There is no doubt that one of the most important domains of optimization theory is concave maximization, the most delicate problems of which are the duality theory and the necessary and sufficient optimality conditions. Duality theory for one-objective concave maximization is, how it is generally known, already completely developed. For vector optimization, however, the duality question is mote...