All fields are division rings ; more interesting examples are the non-commutative division rings.

Wedderburn's little theorem: All finite division rings are commutative and therefore finite fields.

All principal ideal domains and therefore all discrete valuation rings are Dedekind domains.

* All fields ( and skew fields ) are local rings, since

All badniks and most bosses in the game are powered by, and on destruction release, gray rings ( rather than animals as in prior games ).

All skeletons were headless with the skulls removed after original burial and replaced with rings made from cone shell.

( All Cohen – Macaulay rings have the unmixedness property.

All sites and cabins have fire rings and picnic tables.

All inner moons are intimately connected to the rings of Uranus, which probably resulted from the fragmentation of one or several small inner moons.

All the pawnbrokers in the area were searched for the rings without success.

All rings of Uranus show azimuthal brightness variations.

All of the Green Lanterns, including Mogo, used their rings to throw Oa and slam Krona into the sun to eliminate him for good.

* " All Breed " rings allow cats of every breed approved by the CFA to be judged ... From Sphynx to Persian and everything in between.

All three images are adorned with nose rings, gold bangles and pearl necklaces.

All of its reinforcing rings were of black polycarbonate fiber-other than the silver keys and gold-plated posts, it was entirely black.

All of these had four suspension rings and a bulbous terminal expansion which is pierced by a large rivet.

All the while, Daphne and Niles realize the wedding rings are missing, suddenly remembering the ring is in Eddie's dog bowl, from which he is now consuming, and eating the ring by accident.

All activity in the Saturnian system is focussed on its moons, and also somewhat on the rings.

All the Greater Antillean Amazons display characteristics leading to suppositions of relatedness, including predominantly green-toned color patterns and white rings around the eyes.

All were carrying guns they had seized up, but they were half-clad or hardly clad at all.

All of her movements were careful and methodical, partaking of the stealth of a criminal who has plotted his felony for months in advance and knows exactly which step to take next in the course of the final execution of his crime.

All through Albany and Laramie counties, other men were doing the same.

All the doors were open at this hour except one, and it was toward this that Stevens made his way with Russ close at his shoulder.

All that time rifle barrels were pointing unwaveringly at his head and body.

All Captain Gibault took back to Salem were a few items for the town's East India Museum.

All areas of history were either favorably or adversely affected by the geographical environment, and no respectable historian could pursue the study of history without a thorough knowledge of geography.

He and other Soviet leaders responsible for the document were proud of having brought forward some new formulas, such as the early replacement of the dictatorship of the proletariat by an `` All People's State '', and also of having laid down the lines for a much greater `` democratization '' of the whole hierarchy of Soviets, starting with the Supreme Soviet itself.

All these emotions were screwed up to new heights when, after acceptance and the first rehearsals, there ensued such a buzz of excitement among Parisian music lovers that Duclos had to come running to Rousseau to inform him that the news had reached the superintendent of the King's amusements, and that he was now demanding that the work be offered first at the royal summer palace of Fontainebleau.

`` All dey know down dere is it were at Manassas Junction and it were a big fight '', the old man told them.

All of them were there in this loosely knit association of diversified ideologies, and each berated the other and beat his breast for his own approaches.

All of the jobs in the mission might be equal in the eyes of the Lord, but they were certainly not equal in the eyes of the Lord's servants.

All the women got up and offered their chairs, and when they were all seated again, the guests made their inquiries and their explanations.

All subsequent measurements were made on material which had been heated to 375-degrees-C for one hour.

All samplers were operated for a period of two hours except one, which was operated for four hours.

All samples were tested by both the saline and albumin methods.

All of the subjects in the Kohnstamm-negative and Kohnstamm-positive groups ( as defined for purposes of the personality studies ) were compared with those subjects who shifted in Conditions 3, or 4.

All applicants were generally familiar with the work of the receptionist.

All `` democratic and anti-Nazi parties '' were to have the right to campaign.

All responses, except comments, were numerically coded to permit use of data-processing equipment.

All the performances of the evening were smooth and assured, and the sizable company, with Mr. Nagrin and Marion Scott as its leading dancers, seemed to be fine shape.

All, of course, except the Donner party who were bent on starving to death.

All the women were beautiful, and the men were equal to them ; ;