We consider the problem of bosonizing supersymmetric quantum mechanics (SSQM) and some of its variants, i.e., of realizing them in terms of only boson-like operators without fermion-like ones. In the SSQM case, this is realized in terms of the generators of the Calogero-Vasiliev algebra (also termed deformed Heisenberg algebra with reflection). In that of the SSQM variants, this is done by cons...

This paper introduces an imperative process algebra based on ACP (Algebra of Communicating Processes). Like other algebras, this deals with processes the kind that arises from execution programs. It distinguishes itself already existing algebras among things by supporting abstraction actions are considered not to be visible. The support opens interesting application possibilities algebra. goes ...

In this brief note we would like to give the construction of a free commutative unital associative Nijenhuis algebra on a commutative unital associative algebra based on an augmented modified quasi-shuffle product. —————————————

In this paper, a semi-simple and Maxwell extension of the (anti) de Sitter algebra is constructed. Then, gauge-invariant model has been presented by gauging algebra. We firstly construct Stelle–West-like action for five-dimensional spacetime in which effects spontaneous symmetry breaking have taken into account. doing so, we get an extended version Einstein’s field equations. Next, decompose Li...

We study lattice Hamiltonian realisations of (3+1)d Dijkgraaf-Witten theory with gapped boundaries. In addition to the bulk loop-like excitations, yields dyonic string-like excitations that terminate at Using a tube algebra approach, we classify such and derive corresponding representation theory. Via dimensional reduction argument, relate this describing (2+1)d boundary point-like interfaces b...

in this paper we characterize hyper mv -algebras in which 0 or1 are scalar elements . we prove that any nite hyper mv -algebra that 0is a scaler element in it, is an mv -algebra. finally we characterize hypermv -algebras of order 2 and order 3.

In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fie...

in this paper, we generalize some results from hilbert c*-modules to pro-c*-algebra case. we also give a new proof of the known result that l2(a) is ahilbert module over a pro-c*-algebra a.

The objective of this paper is to propose a new algebra, called decision map algebra (DMA), especially devoted to multicriteria spatial modeling. DMA is a generic and context-independent modeling language inspired from map algebra and other similar languages. It supports the conventional geometric objects and cartographic maps and adds a rich set of new operands representing different spatial m...