#### 139 Citations

Membership deformation of commutativity and obscure $n$-ary algebras

- Mathematics, Physics
- 2020

A general mechanism for "breaking" commutativity in algebras is proposed: if the underlying set is taken to be not a crisp set, but rather an obscure/fuzzy set, the membership function, reflecting… Expand

Koszul Bicomplexes and Generalized Koszul Complexes in Projective Dimension One

- Mathematics
- 2006

We describe Koszul type complexes associated with a linear map from any module to a free module, and vice versa with a linear map from a free module to an arbitrary module, generalizing the classical… Expand

Classical orthogonal polynomials revisited

- Mathematics
- 2021

This manuscript contains a small portion of the algebraic theory of orthogonal polynomials developed by Maroni and their applicability to the study and characterization of the classical families,… Expand

Uma Generalizacão do Teorema de Serre-Swan

- 2017

In the present work we will study a generalization of the classical theorems of Serre and Swan. We will determine the class of ringed spaces (X,OX), so that the category of locally free sheaves of… Expand

Polynomial closure in essential domains

- Mathematics
- 2005

Abstract.Let D be a domain, E a subset of its quotient field K, and Int. The polynomial closure of E is the set We compare the polynomial closure with the divisorial closure in a general setting and… Expand

Graded Medial n-Ary Algebras and Polyadic Tensor Categories

- Computer Science, Mathematics
- Symmetry
- 2021

"medialing" instead of braiding and construct "medialed" polyadic tensor categories, which are close to monoidal categories, but may not contain units: instead the querfunctor and (natural) functorial isomorphisms, the quertors, are considered. Expand

Dominance order and monoidal categorification of cluster algebras

- Mathematics
- 2018

We study a compatibility relationship between Qin's dominance order on a cluster algebra $\mathcal{A}$ and partial orderings arising from classifications of simple objects in a monoidal… Expand

M ay 2 01 8 Determinants of Block Matrices with Noncommuting Blocks

- 2018

Let M be an mn × mn matrix over a commutative ring R. Divide M into m × m blocks. Assume that the blocks commute pairwise. Consider the following two procedures: (1) Evaluate the n × n determinant… Expand

Determinants of block matrices with noncommuting blocks

- Mathematics
- 2017

Abstract Let M be an m n × m n matrix over a commutative ring R. Divide M into m × m blocks. Assume that the blocks commute pairwise. Consider the following two procedures: (1) Evaluate the n × n… Expand

Point value characterizations and related results in the full Colombeau algebras G^e and G^d

- Mathematics
- 2011

We present a point value characterization for elements of the elementary full Colombeau algebra G^e and the diffeomorphism invariant full Colombeau algebra G^d. Moreover, several results from the… Expand