Algebraic structures such as semirings and modules have long been a fertile ground for both theoretical exploration and practical application. Semirings, generalisations of rings that typically lack ...

Algebraic structures, ranging from groups and rings to modules and fields, constitute the foundation of modern mathematics. Among these, Hopf algebras have emerged as pivotal constructions that ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

Algebraic models that deal with kinship and marriage systems by reducing a population to sets of persons are found to be inappropriate both for the Purum and for some levels of abstraction in certain ...

A problem at the interface of two mathematical areas, topology and algebraic geometry, that was formulated by Friedrich Hirzebruch, had resisted all attempts at a solution for more than 50 years. The ...

Let à denote a smooth compactification of the k-fold fiber product of the universal family A1 → M of elliptic curves with level N structure. The purpose of this paper is to completely describe the ...