Results 21 to 30 of about 19,938 (92)
Regular rings and perfect(oid) algebras [PDF]
Communications in Algebra, 2018 We prove a p-adic analog of Kunz’s theorem: a p-adically complete noetherian ring is regular exactly when it admits a faithfully flat map to a perfectoid ring.
B. Bhatt, S. Iyengar, Linquan Ma
semanticscholar +1 more source
Koszulity and Point Modules of Finitely Semi-Graded Rings and Algebras
Symmetry, 2019 In this paper, we investigate the Koszul behavior of finitely semi-graded algebras by the distributivity of some associated lattice of ideals. The Hilbert series, the Poincaré series, and the Yoneda algebra are defined for this class of algebras ...
O. Lezama, J. Gomez
semanticscholar +1 more source
Basic Module Theory over Non-Commutative Rings with Computational Aspects of Operator Algebras
, 2013 The present text surveys some relevant situations and results where basic Module Theory interacts with computational aspects of operator algebras. We tried to keep a balance between constructive and algebraic aspects.Comment: To appear in the Proceedings
A. Kandri-Rody +54 more
core +1 more source
Non-trivial stably free modules over crossed products
, 2009 We consider the class of crossed products of noetherian domains with universal enveloping algebras of Lie algebras. For algebras from this class we give a sufficient condition for the existence of projective non-free modules.
Antoniou I +11 more
core +1 more source
Rings, modules, and algebras in infinite loop space theory [PDF]
, 2004 We give a new construction of the algebraic K-theory of small permutative categories that preserves multiplicative structure, and therefore allows us to give a unified treatment of rings, modules, and algebras in both the input and output.
A. Elmendorf, Michael A. Mandell
semanticscholar +1 more source
The point variety of quantum polynomial rings
, 2015 We show that the reduced point variety of a quantum polynomial algebra is the union of specific linear subspaces in $\mathbb{P}^n$, we describe its irreducible components and give a combinatorial description of the possible configurations in small ...
Belmans, Pieter +2 more
core +1 more source
Quasicoherent sheaves on toric schemes
, 2013 Let X be the toric scheme over a ring R associated with a fan Sigma. It is shown that there are a group B, a B-graded R-algebra S and a graded ideal I of S such that there is an essentially surjective, exact functor ~ from the category of B-graded S ...
Rohrer, Fred
core +1 more source
The graded Grothendieck group and the classification of Leavitt path algebras [PDF]
, 2011 This paper is an attempt to show that, parallel to Elliott's classification of AF $C^*$-algebras by means of $K$-theory, the graded $K_0$-group classifies Leavitt path algebras completely.
Hazrat, R.
core +1 more source
Universal localisations and tilting modules for finite dimensional algebras [PDF]
, 2013 We study universal localisations, in the sense of Cohn and Schofield, for finite dimensional algebras and classify them by certain subcategories of our initial module category.
Marks, Frederik
core
Simplicial and dimension groups with group action and their realization
, 2018 We define simplicial and dimension $\Gamma$-groups, the generalizations of simplicial and dimension groups to the case when these groups have an action of an arbitrary group $\Gamma.$ We generalize classic results which correspond to the case when ...
Vas, Lia
core