Ternary rings of operators arising from inverse semigroups

Classification of Monogenic Ternary Semigroups

The aim of this paper is to classify all monogenic ternary semigroups, up to isomorphism. We divide them to two groups: finite and infinite. We show that every infinite monogenic ternary semigroup is isomorphic to the ternary semigroup O, the odd positive integers with ordinary addition. Then we prove that all finite monogenic ternary semigroups with the same index...

A Holomorphic Characterization of Ternary Rings of Operators

N(A)-ternary semigroups

T then it is proved that (1) ) ( ) ( ) ( 0 1 2 A N A N A N A    (2) N0(A) = A2, N1(A) is a semiprime ideal of T containing A, N2(A) = A4 are equivalent, where No(A) = The set of all A-potent elements in T, N1(A) = The largest ideal contained in No(A), N2(A) = The union of all A-potent ideals. If A is a semipseudo symmetric ideal of a ternary semigroup then it is proved that N0(A) = N1(A) = N...

On Weierstrass semigroups arising from finite graphs

In 2007, Baker and Norine proved an analogue of the Riemann-Roch Theorem for finite graphs. Motivated by the Weierstrass semigroup of a point on a nonsingular projective curve X, it is natural to consider analogues for a vertex P on a finite, connected graph which has no loops. Let Hr(P ) be the set of nonnegative integers α such that r(αP ) = r((α − 1)P ) + 1, wherer(D) denotes the dimension o...

fuzzy ideals of ternary semigroups

The concept of q , -fuzzy ternary subsemigroup (left, right, lateral, quasi-, bi-) ideal of a ternary semigroup is introduced and several related properties are investigated. We give some characterizations of regular and weakly regular ternary semigroups by q , -fuzzy left (right, lateral) ideals, q , -fuzzy quasi-ideals and q , -fuzzy bi-(generalized bi-) ideals.