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Characterizations based on length-biased weighted measure of inaccuracy for truncated random variables

Chanchal Kundu (2014)

Applications of Mathematics

In survival studies and life testing, the data are generally truncated. Recently, authors have studied a weighted version of Kerridge inaccuracy measure for truncated distributions. In the present paper we consider weighted residual and weighted past inaccuracy measure and study various aspects of their bounds. Characterizations of several important continuous distributions are provided based on weighted residual (past) inaccuracy measure.

Characterizations of sub-semihypergroups by various triangular norms

B. Davvaz (2005)

Czechoslovak Mathematical Journal

We investigate the structure and properties of T L -sub-semihypergroups, where T is an arbitrary triangular norm on a given complete lattice L . We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider L = [ 0 , 1 ] and T = min , and investigate the connection between T L -sub-semihypergroups and the probability space.

Characterizations of totally ordered sets by their various endomorphisms

Daniel Hort, Jan Chvalina, Jiří Moučka (2002)

Czechoslovak Mathematical Journal

We characterize totally ordered sets within the class of all ordered sets containing at least three-element chains using a simple relationship between their isotone transformations and the so called 2-, 3-, 4-endomorphisms which are introduced in the paper. Another characterization of totally ordered sets within the class of ordered sets of a locally finite height with at least four-element chains in terms of the regular semigroup theory is also given.

Characterizing finite groups whose enhanced power graphs have universal vertices

David G. Costanzo, Mark L. Lewis, Stefano Schmidt, Eyob Tsegaye, Gabe Udell (2024)

Czechoslovak Mathematical Journal

Let G be a finite group and construct a graph Δ ( G ) by taking G { 1 } as the vertex set of Δ ( G ) and by drawing an edge between two vertices x and y if x , y is cyclic. Let K ( G ) be the set consisting of the universal vertices of Δ ( G ) along the identity element. For a solvable group G , we present a necessary and sufficient condition for K ( G ) to be nontrivial. We also develop a connection between Δ ( G ) and K ( G ) when | G | is divisible by two distinct primes and the diameter of Δ ( G ) is 2.

Characterizing projective general unitary groups PGU 3 ( q 2 ) by their complex group algebras

Farrokh Shirjian, Ali Iranmanesh (2017)

Czechoslovak Mathematical Journal

Let G be a finite group. Let X 1 ( G ) be the first column of the ordinary character table of G . We will show that if X 1 ( G ) = X 1 ( PGU 3 ( q 2 ) ) , then G PGU 3 ( q 2 ) . As a consequence, we show that the projective general unitary groups PGU 3 ( q 2 ) are uniquely determined by the structure of their complex group algebras.

Characterizing pure, cryptic and Clifford inverse semigroups

Mario Petrich (2014)

Czechoslovak Mathematical Journal

An inverse semigroup S is pure if e = e 2 , a S , e < a implies a 2 = a ; it is cryptic if Green’s relation on S is a congruence; it is a Clifford semigroup if it is a semillatice of groups. We characterize the pure ones by the absence of certain subsemigroups and a homomorphism from a concrete semigroup, and determine minimal nonpure varieties. Next we characterize the cryptic ones in terms of their group elements and also by a homomorphism of a semigroup constructed in the paper. We also characterize groups and...

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