We characterise Lie groups with bi-invariant bargmannian, galilean or carrollian structures. Localising at the identity, we show that algebras ad-invariant structures are actually determined by same data: a metric algebra skew-symmetric derivation. This is data defining one-dimensional double extension of and, indeed, bargmannian coincide such extensions, containing as an ideal and projecting t...

We exploit the doubled formalism to study comprehensive relations among T-duality, complex and bi-hermitian structures (J+,J−) in two-dimensional N=(2,2) sigma models with/without twisted chiral multiplets. The embedded generalized Kähler are organized into algebra of tri-complex numbers. write down an analogue Buscher rule by which T-duality transformation apparent. also bi-hypercomplex hyperk...

we study topological von neumann regularity and principal von neumann regularity of banach algebras. our main objective is comparing these two types of banach algebras and some other known banach algebras with one another. in particular, we show that the class of topologically von neumann regular banach algebras contains all $c^*$-algebras, group algebras of compact abelian groups and cer...

This study aims to develop and test an amalgamated conceptual framework based on Unified Theory of Acceptance Use Technology 2 (UTAUT2) with trust (TR), emotional attachment (EA), resource material sharing (RA), communication (COM) collaboration (COL), which might be the salient factors that may influence adoption Social Networking Sites (SNS) for educational purposes. Data were collected from ...

Involutive distributions of evolutionary vector fields that belong to images of matrix operators in total derivatives are considered and some classifications of the operators are obtained. The weak compatibility of these operators is an analog of the Poisson pencils for the Hamiltonian structures, while the commutation closure of sums of the images for N -tuples of the operators, which is the s...

since 2005 a new powerful invariant of an algebra has emerged using the earlier work of horvath, hethelyi, kulshammer and murray. the authors studied morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. it was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

The genesis of this paper is the construction of a new operator that, when combined with a theorem of Herrero, settles a question of Herrero. Herrero proved that a strictly cyclic operator on an infinite dimensional Hilbert space is never triangular. He later asks whether the adjoint of a strictly cyclic operator is necessarily triangular. We settle the question by constructing an operator T fo...

in this work, we investigate the transfer of some homological properties from a ring $r$ to its amalgamated duplication along some ideal $i$ of $r$ $rbowtie i$, and then generate new and original families of rings with these properties.

Let E be a set of inequalities between finite Σ-terms. Let Vω and Vr denote the varieties of all ω-continuous ordered Σ-algebras and regular ordered Σ-algebras satisfying E, respectively. We prove that the free Vr-algebra R(X) on generators X is the subalgebra of the corresponding free Vω-algebra Fω(X) determined by those elements of Fω(X) denoted by the regular Σ-coterms. We actually establish...