in this paper, we introduce  the notions of   interval-valued and $(in,ivq)$-interval-valued fuzzy ($p$-,$q$- and $a$-) ideals    of   bci algebras   and investigate some of their properties.   we then derive characterization theorems for these generalized interval-valued fuzzy ideals  and discuss their relationship.

In this paper we examine on a pair of adjoint functors (ϕ^* ,ϕ_*)for subcategory the category crossed modules over commutative algebras where ϕ_*: XMod/P → XMod/Q, induced, and ϕ^*:XMod/Q XMod/P, pullback (co-induced), which enables us to move from Q-modules P-modules by an algebra morphism ϕ : P Q. We show that functor (ϕ^*,ϕ_*) makes p∶ XMod k-Alg into bi- fibred k-Alg, algebras, p is given p...

Some quantum algebras build from deformed oscillator algebras ala Jordan-Schwinger may be described in terms of a particular case of psi-calculus. We give here an example of a specific relation between such certain quantum algebras and generalized Clifford algebras also in the context of Levy-Leblond's azimuthal quantization of angular momentum which was interpreted afterwards as the finite dim...

A generalization of the Jordan–Schwinger map: classical version and its q–deformation. Abstract For all three–dimensional Lie algebras the construction of generators in terms of functions on 4-dimensional real phase space is given with a realization of the Lie product in terms of Poisson brackets. This is the classical Jordan–Schwinger map which is also given for the deformed algebras SL q (2, ...

We prove that finite flat digraph algebras and, more generally, finite compatible flat algebras satisfying a certain condition are finitely q-based (possess a finite basis for their quasiequations). We also exhibit an example of a twelve-element compatible flat algebra that is not finitely q-based.

The aim of this paper is to introduce the notions of interval valued (∈,∈ ∨q)-fuzzy Boolean (implicative, positive implicative and fantastic) filters in BL-algebras and to investigate some related properties. Some characterizations of these generalized fuzzy filters are derived. Finally, the relations among these generalized fuzzy filters are discussed. It is proved that an interval valued (∈,∈...

Checking the admissibility of quasiequations in a finitely generated (i.e., generated by a finite set of finite algebras) quasivariety Q amounts to checking validity in a suitable finite free algebra of the quasivariety, and is therefore decidable. However, since free algebras may be large even for small sets of small algebras and very few generators, this naive method for checking admissibilit...

We prove that finite flat digraph algebras and, more generally, finite compatible flat algebras satisfying a certain condition are finitely q-based (possess a finite basis for their quasiequations). We also exhibit an example of a twelve-element compatible flat algebra that is not finitely q-based.

We study a twisted version of module algebras called module Hom-algebras. It is shown that module algebras deform into module Hom-algebras via endomorphisms. As an example, we construct certain q-deformations of the usual sl(2)-action on the affine plane.

Abstract We introduce most of the concepts for q -Lie algebras in a way independent base field K . Again it turns out that we can keep same Lie algebra with small modification. use very similar definitions all quantities, which means proofs are similar. In particular, quantities solvable, nilpotent, semisimple algebra, Weyl group and chamber identical ordinary case = 1. The computations sample ...