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Theory of cyclic algebras over an algebraic number field [PDF]

open access: yesTransactions of the American Mathematical Society, 1932
I present this paper for publication to an American journal and in English for the following reason: The theory of linear algebras has been greatly extended through the work of American mathematicians. Of late, German mathematicians have become active in this theory.
openaire   +1 more source

Lattice index codes from algebraic number fields [PDF]

open access: yes2015 IEEE International Symposium on Information Theory (ISIT), 2015
Broadcasting $K$ independent messages to multiple users where each user demands all the messages and has a subset of the messages as side information is studied. Recently, Natarajan, Hong, and Viterbo proposed a novel broadcasting strategy called lattice index coding which uses lattices constructed over some principal ideal domains (PIDs) for ...
openaire   +2 more sources

Straight-line programs with memory and matrix Bruhat decomposition

open access: yes, 2013
We advocate that straight-line programs designed for algebraic computations should be accompanied by a comprehensive complexity analysis that takes into account both the number of fundamental algebraic operations needed, as well as memory requirements ...
Niemeyer, Alice C.   +2 more
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