Some properties of relative annihilators are studied in Almost Distributive Lattices (ADLs). Prime ideal conditions on ADLs are investigated in connection with the relative annihilators. The concept of Boolean congruences is introduced and characterized in terms of relative annihilators. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.

This paper studies algebraic properties concerning the p-primitive annihilators of languages. The p-primitive annihilators of languages contains left P1-annihilators and right P1-annihilators. There are some interesting results presented in this paper. Such as: for every finite language L, the left P1-annihilator of L is not equal to the right P1annihilator of L, the set γP1(L) is not regular f...

A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characte...

In this paper, we define the notion of minimal prime ideals hoops and investigate some properties them. Then by using annihilators, study relation between annihilators. Also, introduce zero divisors elements prove that set all is a union hoop. Finally, notions maximal hoop, two new as p-ideal m-ideal. them every semi-simple hoop an m-ideal it.

This article comes from our quest for bounds on the Castelnuovo-Mumford regularity of schemes in terms of their “defining equations”, in the spirit of [BM], [BEL], [CP] or [CU]. The references [BS], [BM], [V] or [C] explains how this notion of regularity is a mesure of the algebraic complexity of the scheme, and provides several computational motivations. It was already remarked by several auth...

This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.

At Crypto 2008, Shamir introduced a new algebraic attack called the cube attack, which allows us to solve black-box polynomials if we are able to tweak the inputs by varying an initialization vector. In a stream cipher setting where the filter function is known, we can extend it to the cube attack with annihilators: By applying the cube attack to Boolean functions for which we can find low-degr...

Low degree annihilators for Boolean functions are of great interest in cryptology because of algebraic attacks on LFSR-based stream ciphers. Several polynomial algorithms for construction of low degree annihilators are introduced in this paper. The existence of such algorithms is studied for the following forms of the function representation: algebraic normal form (ANF), disjunctive normal form...

Algebraic attacks have established as an important tool for cryptanalyzing LFSR-based keystream generators. Crucial for an efficient attack is to find appropriate equations of a degree as low as possible. Hereby, lower degrees are possible if many keystream bits are involved in one equation. An example is the keystream generator E0 employed in Bluetooth, where equations of degree 4 exist for r ...

In this paper we consider Artinian modules over power series rings endowed with a Frobenius map. We describe a method for finding the set of all prime annihilators of submodules which are preserved by the given Frobenius map and on which the Frobenius map is not nilpotent. This extends the algorithm by Karl Schwede and the first author, which solved this problem for submodules of the injective ...