• Title/Summary/Keyword: Property (A)

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Latin Square Type Partially Balanced Incomplete Block Designs

  • Paik, U.B.
    • Journal of the Korean Statistical Society
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    • v.8 no.2
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    • pp.125-130
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    • 1979
  • It is well known that $L_2(m)$ type PBIB designs have the Property A, so they are BNAS PBIB designs. However, $L_3(m)$ type PBIB designs are not of type of Property A but do have the factorial structure (Cotter, John, and Smith(1973)). In this paper, the properties of the $L_3(m)$ type PBIB designs are investigated. Extended Property A and fractional BNAS are defined and a solution formula for the treatment effects in the $L_32(m)$ type designs is obtained.

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ON ANNIHILATIONS OF IDEALS IN SKEW MONOID RINGS

  • Mohammadi, Rasul;Moussavi, Ahmad;Zahiri, Masoome
    • Journal of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.381-401
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    • 2016
  • According to Jacobson [31], a right ideal is bounded if it contains a non-zero ideal, and Faith [15] called a ring strongly right bounded if every non-zero right ideal is bounded. From [30], a ring is strongly right AB if every non-zero right annihilator is bounded. In this paper, we introduce and investigate a particular class of McCoy rings which satisfy Property (A) and the conditions asked by Nielsen [42]. It is shown that for a u.p.-monoid M and ${\sigma}:M{\rightarrow}End(R)$ a compatible monoid homomorphism, if R is reversible, then the skew monoid ring R * M is strongly right AB. If R is a strongly right AB ring, M is a u.p.-monoid and ${\sigma}:M{\rightarrow}End(R)$ is a weakly rigid monoid homomorphism, then the skew monoid ring R * M has right Property (A).

Zero-divisors of Semigroup Modules

  • Nasehpour, Peyman
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.37-42
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    • 2011
  • Let M be an R-module and S a semigroup. Our goal is to discuss zero-divisors of the semigroup module M[S]. Particularly we show that if M is an R-module and S a commutative, cancellative and torsion-free monoid, then the R[S]-module M[S] has few zero-divisors of size n if and only if the R-module M has few zero-divisors of size n and Property (A).

A Comparative Study on the Buckling Characteristics of Single-layer and Double-layer Cylindrical Space Frame (단층 및 복층 원통형 스페이스 프레임의 좌굴특성에 관한 비교연구)

  • 강민화;정환목;권영환
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.50-57
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    • 1995
  • Cylindrical space frame which have a mechanic property, a functional property, a aesthetic prioerty and so on, occupies one part of sin structures and after this, the using parts will be extended. But because this structure is made of network by combination of line elements there are many nodes the structural the structural behavior is very complicated and there can be a overall collapse of structure by buckling phenomenon if the external force reaches a limitation. In design for this structure, we must determinate layer by considering above mentioned property first of all. Therefore this study aimed at the comparison and the investigation of mechanical characteristics of single-layer and double-layer cylindrical space frame on views of behavior and buckling by use of rise ratio.

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ON A CHARACTERIZATION OF SECURE TRINOMIALS ON ℤ2n

  • Rhee, Min Surp
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.4
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    • pp.573-584
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    • 2016
  • Invertible transformations over n-bit words are essential ingredients in many cryptographic constructions. Such invertible transformations are usually represented as a composition of simpler operations such as linear functions, S-P networks, Feistel structures and T-functions. Among them T-functions are probably invertible transformations and are very useful in stream ciphers. In this paper we will characterize a secure trinomial on ${\mathbb{Z}}_{2^n}$ which generates an n-bit word sequence without consecutive elements of period $2^n$.

ON SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS FROM THE VIEW POINT OF THEIR RELATIVE (p, q)-TH TYPE AND RELATIVE (p, q)-TH WEAK TYPE

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.26 no.1
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    • pp.23-41
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    • 2018
  • The main aim of this paper is to prove some results related to the growth rates of composite entire and meromorphic functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type and relative (p, q)-th weak type where p and q are any two positive integers.

SLOWLY CHANGING FUNCTION ORIENTED GROWTH MEASUREMENT OF DIFFERENTIAL POLYNOMIAL AND DIFFERENTIAL MONOMIAL

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.27 no.1
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    • pp.17-51
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    • 2019
  • In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative $_pL^*$-order, relative $_pL^*$-lower order and differential monomials, differential polynomials generated by one of the factors.