474 citations
- University of Illinois Urbana-ChampaignUS46 papers
- Brandeis UniversityUS39 papers
- University of Massachusetts AmherstUS16 papers
- Harvard UniversityUS12 papers
- California Institute of TechnologyUS11 papers
- University of WashingtonUS11 papers
- Max Planck Institute for AstrophysicsDE8 papers
- City College of New YorkUS7 papers
- ETH ZurichCH7 papers
- University of LisbonPT7 papers
- University of OxfordGB7 papers
- University of SouthamptonGB6 papers
7 papers · 1 filter
Growth of Graded Twisted Calabi-Yau Algebras
Manuel L. Reyes, Daniel Rogalski
We initiate a study of the growth and matrix-valued Hilbert series of non-negatively graded twisted Calabi-Yau algebras that are homomorphic images of path algebras of weighted qui…
On right -Noetherian rings and -Noetherian modules
Zehra Bilgin, Manuel L. Reyes, Ünsal Tekir
In this paper we study right -Noetherian rings and modules, extending of notions introduced by Anderson and Dumitrescu in commutative algebra to noncommutative rings. Two charac…
Infinite-dimensional diagonalization and semisimplicity
Miodrag C. Iovanov, Zachary Mesyan, Manuel L. Reyes
We characterize the diagonalizable subalgebras of End(V), the full ring of linear operators on a vector space V over a field, in a manner that directly generalizes the classical th…
A prime ideal principle for two-sided ideals
Manuel L. Reyes
Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying a special property must be prime. We present a "Prime Ideal Principle" that giv…
Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras
Manuel Reyes, Daniel Rogalski, James J. Zhang
We investigate the conditions that are sufficient to make the Ext-algebra of an object in a (triangulated) category into a Frobenius algebra and compute the corresponding Nakayama…
Skew Calabi-Yau Algebras and Homological Identities
Manuel Reyes, Daniel Rogalski, James J. Zhang
A skew Calabi-Yau algebra is a generalization of a Calabi-Yau algebra which allows for a non-trivial Nakayama automorphism. We prove three homological identities about the Nakayama…