Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Boolean ring

Sortuj według:

Ogranicz wyniki do:

On duality between order and algebraic structures in Boolean systems

Dadej A., Halik K.

Journal of Mathematics and Applications

2013

Vol. 36

35--62

We present an extension of the known one-to-one correspondence between Boolean algebras and Boolean rings with unit being two types of Boolean systems endowed with order and algebraic structures, respectively. Two equivalent generalizations of Boolean algebras are discussed. We show that there is a one-to-one correspondence between any of the two mentioned generalized Boolean algebras and Boolean rings without unit.

On the family of cubical multivariate cryptosystems based on the algebraic graph over finite commutative rings of characteristic 2

Romańczuk U., Ustimenko V.

Annales Universitatis Mariae Curie-Skłodowska. Sectio AI, Informatica

2012

Vol. 12, no. 3

89--106

The family of algebraic graphs A(n;K) defined over the finite commutative ring K were used for the design of different multivariate cryptographical algorithms (private and public keys, key exchange protocols). The encryption map corresponds to a special walk on this graph. We expand the class of encryption maps via the use of an automorphism group of A(n;K). In the case of characteristic 2 the encryption transformation is a Boolean map. We change finite field for the commutative ring of characteristic 2 and consider some modifications of algorithm which allow to hide a ground commutative ring.

Exhaustive submeasures on Boolean rings, Banach lattices and uniform absolute continuity

Huff C., Lewis P.

Bulletin of the Polish Academy of Sciences. Mathematics

2001

Vol. 49, no 3

203-210

A bi-sequential version of a classical theorem dealing with uniform absolute continuity in spaces of measures is extended to the setting of submeasures on a Boolean ring. Applications to spaces of vector measures and Banach lattices are discussed.