Let q be an odd prime power. Denote by r(q) the value of modulo 4. In this paper, we establish a linear fractional correspondence between two types maximal cliques size q+r(q)2 in Paley graph order q2.

Received 16 March 2008; accepted 4 May 2008 Abstract: We classify the maximal irreducible periodic subgroups of PGL(q,F) , where F is a field of positive characteristic p transcendental over its prime subfield, q 6= p is prime, and F× has an element of order q . That is, we construct a list of irreducible subgroups G of GL(q,F) containing the centre F×1q of GL(q,F) , such that G/F×1q is a maxim...

In this paper we have discussed the relations between Maximal ideal, Prime ideal and irreducible ideal in an incline R. Mathematics Subject Classification: 16D25, 16Y60

Given a set X of “indeterminates” and a field F , an ideal in the polynomial ring R = F [X] is called conservative if it contains with any polynomial all of its monomials. The map S 7→ RS yields an isomorphism between the power setP (X) and the complete lattice of all conservative prime ideals of R. Moreover, the members of any system S ⊆ P (X) of finite character are in one-to-one corresponden...

For every q = l with l a prime power greater than 2, the GK curve X is an Fq2 -maximal curve that is not Fq2 -covered by any Fq2 -maximal DeligneLusztig curve. Interestingly, X has a very large Fq2-automorphism group with respect to its genus. In this paper we compute the genera of a large variety of curves that are Galois-covered by the GK curve, thus providing several new values in the spectr...

Fuzzy ideals of pseudo MV-algebras are investigated. The homomorphic properties of fuzzy prime ideals are given. A one-to-one correspondence between the set of maximal ideals and the set of fuzzy maximal ideals μ satisfying μ(0) = 1 and μ(1) = 0 is obtained.

We compute the maximal Thurston-Bennequin number for a Legendrian two-bridge knot or oriented two-bridge link in standard contact R, by showing that the upper bound given by the Kauffman polynomial is sharp. As an application, we present a table of maximal Thurston-Bennequin numbers for prime knots with nine or fewer crossings.

Can there be a structure space-type theory for an arbitrary class of ideals ring? The ideal spaces introduced in this paper allows such study and our includes (but not restricted to) prime, maximal, minimal strongly irreducible, completely proper, minimal, primary, nil, nilpotent, regular, radical, principal, finitely generated ideals. We characterise that are sober. introduce the notion discon...