Some lattice Horn sentences for submodules of prime power characteristic

1994 ◽  
Vol 65 (2) ◽  
pp. 195-201 ◽  
Author(s):  
Gábor Czédli
Keyword(s):  
Prime Power ◽  
Power Characteristic ◽  
Horn Sentences

QE rings in characteristic pn

1983 ◽  
Vol 48 (1) ◽  
pp. 140-162 ◽  
Author(s):  
Chantal Berline ◽  
Gregory Cherlin
Keyword(s):  
Finite Field ◽  
Jacobson Radical ◽  
Prime Power ◽  
Galois Field ◽  
Power Characteristic ◽  
Witt Ring ◽  
Boolean Power ◽  
Three Components

AbstractWe show that all QE rings of prime power characteristic are constructed in a straightforward way out of three components: a filtered Boolean power of a finite field, a nilpotent Jacobson radical, and the ring Zp. or the Witt ring W2(F4) (which is the characteristic four analogue of the Galois field with four elements).

Involutory Matrices Over Finite Local Rings

1972 ◽  
Vol 24 (3) ◽  
pp. 369-378 ◽  
Author(s):  
B. R. McDonald
Keyword(s):  
Prime Power ◽  
Quotient Ring ◽  
Careful Analysis ◽  
Commutative Rings ◽  
Local Rings ◽  
Power Characteristic ◽  
Special Cases ◽  
Algebraic Cryptography ◽  
Characteristic 2 ◽  
Finite Commutative Rings

A square matrix A over a commutative ring R is said to be involutory if A2 = I (identity matrix). It has been recognized for some time that involutory matrices have important applications in algebraic cryptography and the special cases where R is either a finite field or a quotient ring of the rational integers have been extensively researched. However, there has been no detailed attempt to extend the theory to all finite commutative rings. In this paper we illustrate in detail the theory of involutory matrices over finite commutative rings with 1 having odd characteristic. The method is a careful analysis of finite local rings of odd prime power characteristic. The techniques might be also used in the examination of involutory matrices over local rings of characteristic 2λ; however, as illustrated by finite fields of characteristic 2 and Z/2λZ (Z the rational integers), the arguments are basically different. The reader will note the methods are not limited to only questions on involutory matrices.

scholarly journals Coefficient subrings of certain local rings with prime-power characteristic

1995 ◽  
Vol 18 (3) ◽  
pp. 451-462 ◽  
Author(s):  
Takao Sumiyama
Keyword(s):  
Local Ring ◽  
Prime Power ◽  
Galois Ring ◽  
Local Rings ◽  
Power Characteristic ◽  
Commutative Field

IfRis a local ring whose radicalJ(R)is nilpotent andR/J(R)is a commutative field which is algebraic overGF(p), thenRhas at least one subringSsuch thatS=∪i=1∞Si, where eachSi, is isomorphic to a Galois ring andS/J(S)is naturally isomorphic toR/J(R). Such subrings ofRare mutually isomorphic, but not necessarily conjugate inR.

EXPERIMENTAL STUDY ON WAVE POWER CHARACTERISTIC OF BREAKWATER WITH LOW CREST DISSIPATING BLOCKS TO SHARP-ANGLED INCIDENT WAVE

2019 ◽  
Vol 75 (2) ◽  
pp. I_355-I_360
Author(s):  
Eiichirou SUGI ◽  
Hisanori YOSHIMURA ◽  
Kenta KAKOI ◽  
Aoi ENOMOTO ◽  
Takanori MORIKAWA ◽  
...  
Keyword(s):  
Experimental Study ◽  
Incident Wave ◽  
Wave Power ◽  
Power Characteristic

scholarly journals An infinite family of Williamson matrices

1977 ◽  
Vol 24 (2) ◽  
pp. 252-256 ◽  
Author(s):  
Edward Spence
Keyword(s):  
Prime Power ◽  
Hadamard Matrix ◽  
Infinite Family ◽  
Williamson Matrices

AbstractIn this paper the following result is proved. Suppose there exists a C-matrix of order n + 1. Then if n≡1 (mod 4) there exists a Hadamard matrix of order 2nr(n + 1), while if n≡3 (mod 4) there exists a Hadamard matrix of order nr(n + 1) for all r ≧0. If n≡1 (mod 4) is a prime power, the method is adapted to prove the existence of a Hadamard matrix of the Williamson type, of order 2nr(n + 1), for all r ≧0.

scholarly journals Certain locally nilpotent varieties of groups

2003 ◽  
Vol 67 (1) ◽  
pp. 115-119
Author(s):  
Alireza Abdollahi
Keyword(s):  
Prime Power ◽  
Power Exponent ◽  
Variety Of Groups ◽  
Periodic Groups ◽  
Locally Nilpotent

Let c ≥ 0, d ≥ 2 be integers and be the variety of groups in which every d-generator subgroup is nilpotent of class at most c. N.D. Gupta asked for what values of c and d is it true that is locally nilpotent? We prove that if c ≤ 2d + 2d−1 − 3 then the variety is locally nilpotent and we reduce the question of Gupta about the periodic groups in to the prime power exponent groups in this variety.

scholarly journals The energy of integral circulant graphs with prime power order

2011 ◽  
Vol 5 (1) ◽  
pp. 22-36 ◽  
Author(s):  
J.W. Sander ◽  
T. Sander
Keyword(s):  
Adjacency Matrix ◽  
Prime Power ◽  
Prime Power Order ◽  
Circulant Graph ◽  
Closed Formula ◽  
Circulant Graphs ◽  
Vertex Set

The energy of a graph is the sum of the moduli of the eigenvalues of its adjacency matrix. We study the energy of integral circulant graphs, also called gcd graphs. Such a graph can be characterized by its vertex count n and a set D of divisors of n such that its vertex set is Zn and its edge set is {{a,b} : a, b ? Zn; gcd(a-b, n)? D}. For an integral circulant graph on ps vertices, where p is a prime, we derive a closed formula for its energy in terms of n and D. Moreover, we study minimal and maximal energies for fixed ps and varying divisor sets D.

Space groups and groups of prime-power order II

1980 ◽  
Vol 35 (1) ◽  
pp. 203-209 ◽  
Author(s):  
H. Finken ◽  
J. Neub�ser ◽  
W. Plesken
Keyword(s):  
Prime Power ◽  
Prime Power Order ◽  
Space Groups

Horn sentences with (W) and weak Mal'cev conditions

1984 ◽  
Vol 19 (2) ◽  
pp. 217-230 ◽  
Author(s):  
G�bor Cz�dli ◽  
Alan Day
Keyword(s):  
Horn Sentences
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