WebDe nition 3.3 : Let R be a set with a ternary operation T . If ( R;T ) that satis es properties (i)-(v) of the previous theorem, ( R;T ) is called a ternary ring . Theorem 3.2 : If ( R;T ) is a ternary ring then the structure de ned as fol-lows is a projective plane. The points of are the ordered pairs ( x;y ), where WebThe ternary operator is linear if T(x, m, k) = x⋅m + k. When the set of coordinates of a projective plane actually form a ring, a linear ternary operator may be defined in this way, …
Ternary $$\Gamma $$ Γ -semihyperrings: ideals, regular ideals …
Web19 Jun 2024 · The notion of ternary algebraic system was introduced by Lehmer [27] in 1932. Lister[28] introduced ternary ring. After the paper was published, many … WebA ternary semiring (S, +, .) is regular if and only if every left (right) principal p-ideal is generated by an idempotent. Theorem 3.19. If a ternary semiring (S, +, .) has the property that every left (right) principal pk -ideal has its complement which is also a left (right) principal pk -ideal, then (S, +, .) is a regular ternary semiring. lds newspapers
k-Fuzzy Ideals of Ternary Semirings
Webternary: [adjective] of, relating to, or proceeding by threes. having three elements, parts, or divisions. arranged in threes. WebWe call a ternary ring R primitive in case there exists a faithful, irreducible R-module. A ternary ring whose elements are homomorphisms of U into V is called License or … Web23 Dec 2013 · Our results demonstrate that the size of the polymer has a significant impact on both phase-separation and drying, and we relate these observations to simulations, measured and predicted binodal curves, and the observed shape … lds newport beach temple president