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Furthermore, maximal ideals can be generalized by defining a maximal sub-bimodule M of a bimodule B to be a proper sub-bimodule of M which is contained by no other proper sub-bimodule of M. So, the maximal ideals of R are exactly the maximal sub-bimodules of the bimodule < sub > R </ sub > R < sub > R </ sub >.
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Furthermore and maximal
Furthermore, a subset of a Boolean ring is a ring ideal ( prime ring ideal, maximal ring ideal ) if and only if it is an order ideal ( prime order ideal, maximal order ideal ) of the Boolean algebra.
Furthermore, utility of findings is critical such that the information obtained by evaluation is comprehensive and timely, and thus serves to provide maximal benefit and use to stakeholders.
Furthermore, the term of a Gebrauchsmuster, that is its maximal lifetime, is 10 years from the date of registration.
Furthermore and ideals
Furthermore, it is a well-known property of fields that their only ideals are the zero ideal and the whole field itself.
Furthermore, if a ring is Noetherian, then it satisfies the descending chain condition on prime ideals.
Furthermore, contact between American revolutionaries and the French troops who served as anti-British mercenaries in North America helped spread revolutionary ideals to the French people.
Furthermore, Mill criticized the errors of past attempts to defend individuality where, for example, democratic ideals resulted in the " tyranny of the majority ".
Furthermore, the nominees should be in conformity with UNESCO ideals, in particular, with the Universal Declaration of Human Rights.
Furthermore and can
Furthermore I can identify each design.
Furthermore, one can find a neighborhood of Q in which the difference function is monotone, for since it is analytic it can have only a finite number of extrema in any interval.
Furthermore, Linda & Morris Tannehill argue that no coercive monopoly of force can arise on a truly free market and that a government's citizenry can ’ t desert them in favor of a competent protection and defense agency.
Furthermore, considering that some of these roads seem to go nowhere, experts suggest that they can be linked — especially the Great North Road — to astronomical observations, solstice marking, and agricultural cycles.
Furthermore, mixing matter and antimatter can lead to the annihilation of both, in the same way that mixing antiparticles and particles does, thus giving rise to high-energy photons ( gamma rays ) or other particle – antiparticle pairs.
Furthermore, only bishops and presbyters ( priests ) ordained by bishops in the apostolic succession can validly celebrate or " confect " several of the other sacraments, including the Eucharist, reconciliation of penitents, confirmation and anointing of the sick.
Furthermore, many viruses express p53 inhibitors that can bind p53 and inhibit its transcriptional transactivation activity.
Furthermore, in the case of the obese woman, a breast lift ( mastopexy ) procedure, with or without a breast volume reduction, can be part of an upper-body lift and contouring for the woman who has undergone massive body weight loss.
Furthermore, the wood is often so porous, that if the varnish is stripped off the inexpensive bokken, one can see the use of wood fillers to fill the holes.
Furthermore, while Neuromancer < nowiki >'</ nowiki > s narrator may have had an unusual " voice " for science fiction, much older examples can be found: Gibson's narrative voice, for example, resembles that of an updated Raymond Chandler, as in his novel The Big Sleep ( 1939 ).
Furthermore the Council affirmed against Protestant doctrine that the grace of God can be forfeited through mortal sin.
Furthermore, if the same device with no explicit performance specs beyond the Compact Disc logo initially handles nonstandard discs reliably, there is no assurance that it will not later stop doing so, and in that case, there is no assurance that it can be made to do so again by service or adjustment.
Furthermore the thick prods are a bit less efficient at releasing energy, but more energy can be stored by a crossbow.
Furthermore, in chemistry, four types of mathematical description can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration.
Furthermore, a train of backpropagating action potentials artificially generated at the soma can induce a calcium action potential ( a dendritic spike ) at the dendritic initiation zone in certain types of neurons.
Furthermore, the PIN structure can be found in many power semiconductor devices, such as IGBTs, power MOSFETs, and thyristors.
Furthermore, there are tangos among round dances, participation dances can involve tango mixers, and tango-style dances may be used in ice dancing or in burlesque theatre.
Furthermore, convolutions can be used to efficiently compute DFTs via Rader's FFT algorithm and Bluestein's FFT algorithm.
Furthermore, it can enable indigenous communities to “ reclaim and revalue their languages and cultures, and in so doing, improve the educational success of indigenous students .”
Furthermore, it can be integrated into current gun systems.
Furthermore, under certain idealized conditions one can theoretically recover S ( ƒ ) and s ( t ) exactly.
Furthermore, these two probabilities are equally as likely as any other 21-flip combinations that can be obtained ( there are 2, 097, 152 total ); all 21-flip combinations will have probabilities equal to 0. 5 < sup > 21 </ sup >, or 1 in 2, 097, 152.
Furthermore, for a sequence of positive weights with sum we can define weighted power means as follows:
Furthermore and be
Furthermore, tax collections not immediately needed for current expenditures may be invested in short-term treasury notes, augmenting the town's miscellaneous revenues and reducing the tax levy.
Furthermore, the exchange would not be expected to be sensitive to trace amounts of impurities because it would not be apt to be a chain reaction since the activation energy for abstraction of chlorine by a chlorine atom would be expected to be too high ; ;
Furthermore, it may be possible to estimate the error due to bias in method ( as distinguished from sampling error ) in each of these sources, on such subjects as fertility, mortality, and migration during a given interval by using information from two largely independent sources in conjunction.
Furthermore, in a C reorganization the continuing interest of stockholders of the corporation which paid the tax must be greater than is necessary in a statutory merger, to which the statute is clearly inapplicable.
Furthermore, the thin film dynodes appear to have a natural diameter limitation wherever a mesh support cannot be tolerated.
Furthermore, even the highly trained law clerk who was a part of Jack's total make-up could not understand how the principle could ever be codified.
Furthermore, in 2002, Bligh's great-great-grandson Lord Clifton, the heir-apparent to the Earldom of Darnley, argued that the Ashes urn should not be returned to Australia because it belonged to his family and was given to the MCC only for safe keeping.
Furthermore, it was subject to relativity and thus was not constant for all observers, therefore, in 2012, the IAU redefined it again to just simply be.
Furthermore, all citizens selected were reviewed before taking up office ( dokimasia ) at which they might be disqualified.
Furthermore, Spencerian evolution held that those unfit to sustain themselves must be allowed to perish.
Furthermore, trout may be found in Patagonian rivers.
Furthermore, they claim that in the Bible there's no evidence showing that the office must be conveyed by laying on of hands and no Biblical command that it must be by a special class of bishops ( the laying on of hands is repeatedly used to give a commission to some person in scripture.
Furthermore, it is recommended that the trees remain connected to the stumps and the length of roadway covered be at least 80 yards.
Furthermore, his evolving technique and collaborations with his father add to the puzzle over which works should be attributed to Cuyp.
Furthermore, that maximum 5 % density change occurs at the stagnation point of an object immersed in the gas flow and the density changes around the rest of the object will be significantly lower.
Furthermore, since the wind varies in direction and the axis has to follow its changes, a wind vane or some other contrivance to fulfill the same purpose must be employed.
Furthermore, he is so narcissistic that it would be impossible for him to bear to understand how he appears to her, as selfish, hypocritical and more concerned with public reputation than with actual morality.
Furthermore, he opined that art should not be judged by the medium for which it is created ( i. e., there is no " high " art or " low " art — just art ).
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