Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

The study of Gorenstein algebras has emerged as a cornerstone of modern algebra, offering a powerful paradigm in which duality and symmetry in module theory can be rigorously examined. These algebras ...

Proceedings of the American Mathematical Society, Vol. 132, No. 6 (Jun., 2004), pp. 1613-1619 (7 pages) We show that the projective module P over a cellular algebra is injective if and only if the ...

We define $L-\mathrm{PSH}$-algebras, and prove a classification theorem for such objects. The letters refer respectively to a ground ring $L$ and to the positivity ...

The 3 spatial dimensions that we perceive. Source: Drawing and Photograph by Ezequiel Morsella, 4/4/2022 Scientists from around the globe have come together to discuss the nature of consciousness (see ...