Principal ideal
Artinian rings, finite principal ideal rings and algebraic error correcting codes
... Chapter 4 : Radicals of finite rings and principal ideal rings In Chapter 4 several necessary and sufficient conditions are given which characterize radical semisimple, radical and semis[r] ...
89
A class of principal ideal rings arising from the converse of the Chinese remainder theorem
... a principal ideal ...maximal ideal of a special principal ideal ring R of exponent e, then the only ideals of R are the ideals M i , for i = 0, ...proper ideal of R (whence (2) ...
5
On the Relationship Between Two Embeddings of Ideals into Geometric Space and the Shortest Vector Problem in Principal Ideal Lattices.
... a principal ideal ...a principal ideal may be used to somewhat predict the short vector output of the LLL on this particular ...sampled principal ideal ...a principal ...
131
Security Analysis of Cryptosystems Using Short Generators over Ideal Lattices
... In this paper, we analyzed the security of cryptosystems using short generators over ideal lattices against the RSG attack. We gave explicit estimates of the special values of Dirichlet L-functions at 1 for any ...
30
Uniserial Dimension Of Module Over Using Python
... a principal ideal domain, especially u s ...a principal ideal domain can be decomposed as a direct sum of finite cyclic submodules where the orders of the cyclic generators are called the ...
6
Module Over Pseudo-Valuation Ring and Domain
... Number of research articles are available upon modules over different types of rings and domains, modules over principal ideal rings have been discussed in the literature, modules over dedekind rings and ...
5
On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice
... Suppose the statement (3) is false. Then there exists a proper non principal ideal in R. Let A denote the non-empty collection of non-principal proper ideals of R. It is clear that A is closed under ...
12
A Graphical Characterization for SPAP-Rings
... every ideal is a product of prime ideals if and only if it is a finite direct product of Dedekind domains and special principal ideal rings (SP IRs)(For more information about special ...
7
Transfer of the GPIT Property in Pullbacks
... n-generated ideal of ...“principal ideal theorem” property introduced in ...“generalized principal ideal theorem” property in case A satisfies n-PIT for all n ≥ ...
7
The Cyclic Decomposition of the Factor Group cf(Q2m×D5,Z) /R ¯(Q2m×D5) when m = p, p?2, is prime number
... Divisor over principal ideal domain, we can form the greatest common divisor (g.c.d) of all the k-th order minors of A, it is called the k-th determinant divisor of A and den[r] ...
12
A Combinatorial Note for Harmonic Tensors
... The annihilator of the space V ⊗n /V ⊗n Bn of dual partially harmonic tensors of f f valence f in the algebra Bn /Bn is the principal ideal Xm1 Bn ... Acknowledgments The author express[r] ...
8
An arithmetical theorem for partially ordered sets
... Then each element of S has a unique reduced decomposition into irreducibles if and only if S is upper semi-modular and every three ideals covering a principal ideal are independent.. Thi[r] ...
29
The Equivalence of linear systems
... We show that two R-realisations of a K-matrix, where K is the field of fractions of the principal ideal domain R , are strictly system equivalent if and only if they are locally system e[r] ...
173
S-Linear Almost Distributive Lattices
... If R is an ADL and S is a subADL with 0, then the concept of S−normality in R introduced in [5] and its properties were discussed. R. Cignoli [2] gave the concept of S −completely normal lattice. In this section we ...
13
DA-Encrypt: Homomorphic Encryption via Non-Archimedean Diophantine Approximation --- Preliminary Report
... on principal ideal lattices [14, ...a principal ideal lattice, while the secret key is a good basis (the generator) of the principal ideal ...
22
Far from ideal
... This study demonstrates that dissatisfaction with body image and unhealthy weight-control measures are com- mon among adolescent girls in rural Nova Scotia and that many[r] ...
7
Nietzsche and the noble ideal
... an ideal meant to be needed by man inasmuch as he suffers, or by man inasmuch as he wills and seeks out suffering provided that he can find a sense in doing so? If the former then there is an obvious and very ...
82
Paracompactness with respect to an ideal
... Ann., 181 1969, 119-133] KEY WORDS AND PHRASES: ideal, compact, paracompact, H-closed, quasi-H-closed, nowhere dense, meager, continuous, almost continuous, open, closed, perfect functio[r] ...
10
Democracy as the Communitarian Ideal
... Logical Functions Within the modern liberal presupposition of solipsism, democratic communitarianism is possible only by construction of a common understanding within the wholly isolated[r] ...
8
Psychology of the Ideal Self
... the ideal Self is the basic element of the Psychology as a ...the Ideal Self problem in Psychology (the Ideal Self as a form of learning the world on a psychological basis as a preverbal-stage tool ...
10