This works concerns cohomological support varieties of modules over commutative local rings. The main result is that the a derived tensor product pair differential graded Koszul complex join supports modules. generalizes, and gives another proof of, Dao third author dealing with Tor-independent complete intersection for complexes has broader applicability, including to exterior algebras

The notion of exterior space consists of a topological space together with a certain nonempty family of open subsets that is thought of as a ‘system of open neighborhoods at infinity’ while an exterior map is a continuous map which is ‘continuous at infinity’. The category of spaces and proper maps is a subcategory of the category of exterior spaces. In this paper we show that the category of e...

this paper deals with evaluating the thermal behavior of exterior walls in dwellings of a particular place. today, there is a huge increase in constructing multi-storey apartment buildings and single-family houses in the city of yazd, a city with hot dry climate and a rich historical architecture in iran. unfortunately, the new methods that are used nowadays to make the envelopes of these dwell...

We describe a polynomial-time algorithm for recognising the exterior square of a matrix. The approach involves manipulation of the equations which relate the entries of a matrix and the entries of its exterior square. Conditions are given which are necessary and sufficient for two matrices to have the same exterior square. The definition of the exterior square of a matrix, and the algorithm use...

In order to evaluate the seismic performance of new-type composite exterior wallboard, a total of six exterior and interior wallboards were incorporated in the experiment of seismic performance. Seismic performance such as the stress process, damage mode, hysteresis and skeleton curve, load-carrying and ductility coefficient, damping and energy dissipation, stiffness degradation as well as mate...

Achieving an aesthetically appealing product appearance is of increasing importance for attracting customers and creating valuable product experiences. In this scenario, efficient design processes for assessing appearance characteristics and evaluating visual appreciation of product form is crucial. This requires design methods that support the designer in assessing the content and structure of...

We introduce two new families of solutions to the vacuum Einstein equations with negative cosmological constant in 5 dimensions. These solutions are static black holes whose horizons are modelled on the 3-geometries nilgeometry and solvegeometry. Thus the horizons (and the exterior spacetimes) can be foliated by compact 3-manifolds that are neither spherical, toroidal, hyperbolic, nor product m...