170 citations
- Polish Academy of SciencesPL35 papers
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23 papers · 1 filter
Goldie conditions for Ore extensions over semiprime rings
A. Leroy, J. Matczuk
Let be a ring, an injective endomorphism of and a -derivation of . We prove that if is semiprime left Goldie then the same holds for the Ore extension $R[…
Metal-insulator transition in the quarter- filled frustrated checkerboard lattice
Y. Z. Zhang, Tran Minh-Tien, V. Yushankhai +1
We study the electronic structure and correlations in the geometrically frustrated two dimensional checkerboard lattice. In the large U limit considered here we start from an exten…
Asymptotics of characters of symmetric groups, genus expansion and free probability
Piotr Sniady
The convolution of indicators of two conjugacy classes on the symmetric group S_q is usually a complicated linear combination of indicators of many conjugacy classes. Similarly, a…
Ore Extensions over Duo Rings
Jerzy Matczuk
We show that there exist noncommutative Ore extensions in which every right ideal is two-sided. This answers a problem posed by Marks in Duo Rings and Ore extensions, J.Algebra 280…
Remarks on Naimark's duality
Wojciech Czaja
We present an extension of Naimark's duality principle which states that complete systems in a Hilbert space are projections of -linearly independent systems of elements of an a…
Cat's Dilemma - transitivity vs. intransitivity
Edward W. Piotrowski, Marcin Makowski
We study a simple example of a sequential game illustrating problems connected with making rational decisions that are universal for social sciences. The set of chooser's optimal d…