The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

We introduce a new class of computational problems which we call the``one-more-RSA-
inversion''problems. Our main result is that two problems in this class, which we call the …

The problem of designing physical-layer network coding (PNC) schemes via nested lattices
is considered. Building on the compute-and-forward (C&F) relaying strategy of Nazer and …

A 2-server Private Information Retrieval (PIR) scheme allows a user to retrieve the i th bit of
an n-bit database replicated among two noncommunicating servers, while not revealing any …

This book presents a systematic treatment of Grobner bases in several contexts. The book
builds up to the theory of Grobner bases for operads due to the second author and …

In this paper we continue our program of studying prime submodules. While the bulk of this
work is devoted to extending results found in [41, additional results independent of those …

Let R be a finite chain ring (eg, a Galois ring), K its residue field, and C a linear code over R.
We prove that d (C), the Hamming distance of C, is d ((~ C~:~/spl alpha/~)~), where (C:/spl …

This paper is a survey of the theory of Chevalley groups over commutative rings, centred
around two topics: explicit calculations in the groups using their minimal modules and the …

We introduce the theory IH R of interacting Hopf algebras, parametrised over a principal
ideal domain R. The axioms of IH R are derived using Lack's approach to composing …

Matrices play an important role in both pure and applied mathematics. Matrices with entries
in rings have been intensively studied and used (eg, see [22, 87]); as well as matrices with …