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The fundamental aim of this paper is to introduce and investigate a new property of quasi 2-normed space based on a question given by C. Park (2006) [2] for the completion quasi 2-normed space. Finally, we also find an answer for a question…

Combinatorics · Mathematics 2019-07-04 Mehmet Kir , Mehmet Acikgoz

We study the periplectic Brauer algebra introduced by Moon in the study of invariant theory for periplectic Lie superalgebras. We determine when the algebra is quasi-hereditary and, for fields of characteristic zero, describe the block…

Representation Theory · Mathematics 2018-11-27 Kevin Coulembier

We associate a quiver to a quasi-triangulation of a non-orientable marked surface and define a notion of quiver mutation that is compatible with quasi-cluster algebra mutation defined by Dupont and Palesi. Moreover, we use our quiver to…

Combinatorics · Mathematics 2022-01-19 Véronique Bazier-Matte , Fenghuan He , Ruiyan Huang , Hanyi Yuo , Kayla Wright

This paper aims to provide several relations between Bass and Betti numbers of a given module and its deficiency modules. Such relations and the tools used throughout allow us to generalize some results of Foxby, characterize Cohen-Macaulay…

Commutative Algebra · Mathematics 2022-02-23 Thiago Fiel , Rafael Holanda

A general notion of a quasi-finite algebra is introduced as an algebra graded by the set of all integers equipped with topologies on the homogeneous subspaces satisfying certain properties. An analogue of the regular bimodule is introduced…

Quantum Algebra · Mathematics 2007-05-23 Atsushi Matsuo , Kiyokazu Nagatomo , Akihiro Tsuchiya

We construct a representation of the blob algebra over a ring allowing base change to every interesting (i.e. non--semisimple) specialisation which, in quasihereditary specialisations, passes to a full tilting module.

Representation Theory · Mathematics 2007-05-23 P P Martin , S Ryom-Hansen

We give answers to two questions formulated by Borwein and Goebel in 2003 and to a conjecture formulated by Grad and Pop in 2014 related to calculus rules for quasi (relative) interior.

Functional Analysis · Mathematics 2014-06-11 C. Zalinescu

The paper disproves a basic theorem on quasi-birth-and-death processes given in [M. F. Neuts (1995). Matrix Geometric Solutions in Stochastic Models: An Algorithmic Approach. Dover, New York].

Probability · Mathematics 2020-02-11 Vyacheslav M. Abramov

In this work, we define the quasi-Poisson Lie quasigroups, dual objects to the quasi-poisson Lie groups and we establish the correspondance between the local quasi-Poisson Lie quasigroups and quasi-Lie bialgebras (up to isomorphism)

Symplectic Geometry · Mathematics 2007-05-23 Momo Bangoura

We introduce quasi-invariant polynomials for an arbitrary finite complex reflection group W. Unlike in the Coxeter case, the space Q_k of quasi-invariants of a given multiplicity is not, in general, an algebra but a module over the…

Representation Theory · Mathematics 2014-01-14 Yuri Berest , Oleg Chalykh

This text collects useful results concerning the quasi-Hopf algebra $\D $. We give a review of issues related to its use in conformal theories and physical mathematics. Existence of such algebras based on 3-cocycles with values in $ {R} /…

High Energy Physics - Theory · Physics 2007-05-23 D. Altschuler , A. Coste , J-M. Maillard

Generalizing our earlier work, we construct quasi-particle bases of principal subspaces of standard module $L_{X_l^{(1)}}(k\Lambda_0)$ and generalized Verma module $N_{X_l^{(1)}}(k\Lambda_0)$ at level $k\geq 1$ in the case of affine Lie…

Quantum Algebra · Mathematics 2015-05-05 Marijana Butorac

We extend the relation between quasi-modular forms and modular forms to a wider class of functions. We then relate both forms to vector-valued modular forms with symmetric power representations, and prove a general structure theorem for…

Number Theory · Mathematics 2020-08-12 Shaul Zemel

This work analyses types of group actions on families of $t$-dependent vector fields of a particular class, the hereby called quasi-Lie families. We devise methods to obtain the defined here quasi-Lie invariants, namely a kind of functions…

Classical Analysis and ODEs · Mathematics 2015-08-06 J. F. Cariñena , J. de Lucas

A theorem of Pridham and Lurie provides an equivalence between formal moduli problems and Lie algebras in characteristic zero. We prove a generalization of this correspondence, relating formal moduli problems parametrized by algebras over a…

Algebraic Topology · Mathematics 2023-07-04 Damien Calaque , Ricardo Campos , Joost Nuiten

In this note we show that a recent existence result on quasiequilibrium problems, which seems to improve deeply some well-known results, is not correct. We exhibit a counterexample and we furnish a generalization of a lemma about continuous…

Optimization and Control · Mathematics 2015-04-08 Marco Castellani , Massimiliano Giuli

Biserial algebras are a classical class in the representation theory of algebras, generalizing Nakayama algebras. They were further generalized by Green and Schroll to multiserial algebras, which share many structural properties with…

Representation Theory · Mathematics 2026-05-19 Bohan Xing

In this paper, we investigate the notions of almost Noetherian rings and modules. In details, we give the Cohen type theorem, Eakin-Nagata type theorem, Kaplansky type Theorem and Hilbert basis theorem and some other rings constructions for…

Commutative Algebra · Mathematics 2026-02-24 Xiaolei Zhang

In this paper, we introduce a concept of weakly principally quasi-Baer *-rings in terms of central cover. We prove that a *-rings is a principally quasi-Baer *-rings if and only if it is weakly principally quasi-Baer *-rings with unity. A…

Combinatorics · Mathematics 2016-12-07 Anil Khairnar , B. N. Waphare

In this paper, we introduce a new homological invariant called quasi-projective dimension, which is a generalization of projective dimension. We discuss various properties of quasi-projective dimension. Among other things, we prove the…

Commutative Algebra · Mathematics 2021-08-18 Mohsen Gheibi , David A. Jorgensen , Ryo Takahashi