ABSTRACT: Using elementary Mother space of type e M , we construct semiring N , ring Z and field Q of extended numbers inculuding natural numbers ℕ , rational integers ℤ and rational numbers ℚ . We ...

In most churches, the decorations are red to symbolize the blood of martyrdom. Some churches remove all decorations on Good Friday, veiling anything that can’t be removed in black or purple. Holy ...

Abstract: This work investigated the post-quantum digital signature algorithm based on Finite Non-commutative Associative Algebras and also provides a brief analytical overview of certain post-quantum ...

The seventh graders in Maddie Hines’ project-based math class in North Portland are learning all about how to run sophisticated experiments where they come up with a hypothesis, test it out using the ...

Abstract: Galois closures of commutative rank $n$ ring extensions were introduced by Bhargava and the 2nd author. In this paper, we generalize the construction to the ...