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Conversely and minimal
Conversely, if I is not minimal, then there is a non-zero right ideal J properly contained in I. J is a right submodule of I, so I is not simple.
Statement 4 then implies that a basis of M / mM lifts to a minimal set of generators of M. Conversely, every minimal set of generators of M is obtained in this way, and any two such sets of generators are related by an invertible matrix with entries in the ring.

Conversely and with
Conversely, British English favours fitted as the past tense of fit generally, whereas the preference of American English is more complex: AmEng prefers fitted for the metaphorical sense of having made an object " fit " ( i. e., suited ) for a purpose ; in spatial transitive contexts, AmEng uses fitted for the sense of having made an object conform to an unchanged object that it surrounds ( e. g., " fitted X around Y ") but fit for the sense of having made an object conform to an unchanged object that surrounds it ( e. g., " fit X into Y "); and for the spatial senses ( both intransitive and transitive ) of having been matching with respect to contour, with no alteration of either object implied, AmEng prefers fit (" The clothes fit.
Conversely, paintings which came out of his workshop that were not necessarily physically worked on by Cuyp but merely overseen by him technically, were marked with A. C. to show that it was his instruction which saw the paintings ’ completion.
Conversely, the existence of Bletchley Park, and of the decrypting achievements there, was never officially shared with the Soviet Union, whose war effort would have greatly benefited from regular decrypting of German messages relating to the Eastern Front.
Conversely, the islands do not receive the upwellings ( cold streams ) that affect the West African coast, so the air temperature is cooler than in Senegal, but the sea is actually warmer, because the orographic relief of some islands, as Sao Miguel with steep mountains, cover it with rich woods and luxuriant vegetation where the dense moisture condense and soak the plants, rocks, soil, logs, moss etc.
Conversely, an absence of secure cycle-parking is a recurring complaint by cyclists from cities with low modal share of cycling.
Conversely, states such as Virginia and Massachusetts in the United States of America did not have sovereign status, but had significant political and economic independence coupled with weak federal control, reducing the incentive to secede.
Conversely, in the English language as a whole, singular verb forms can often be used with nouns ending in "- s " that were once considered plural ( for example: " Physics is my favorite academic subject ").
Conversely the car is stopped by releasing pressure on the cable ( with or without completely detaching ) and applying the brakes.
Conversely, if the same is done with the left hand, a left-handed system results.
Conversely, a column with a low reflux ratio must have a large number of stages, thus requiring a taller column.
Conversely, factors that favor plate columns are: presence of solids in feed, high liquid rates, large column diameters, complex columns, columns with wide feed composition variation, columns with a chemical reaction, absorption columns, columns limited by foundation weight tolerance, low liquid rate, large turn-down ratio and those processes subject to process surges.
Conversely, many natural forces, such as the sun, were associated with multiple deities.
Conversely, in functional code, the output value of a function depends only on the arguments that are input to the function, so calling a function f twice with the same value for an argument x will produce the same result f ( x ) both times.
Conversely, wages tend to go up with a decrease in population.
Conversely, given a groupoid G in the algebraic sense, let G < sub > 0 </ sub > be the set of all elements of the form x * x < sup >− 1 </ sup > with x varying through G and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists.
Conversely, Groups incur penalties when attempting to control Groups with opposite alignments or when attempting to destroy groups with the same alignment.
Conversely, John Calvin, Albert Barnes Adam Clarke, John Gill, and John Wesley amongst many other have affirmed this as divine truth and found no problem with its historicity.
Conversely, JPL, through the Caltech lawyers representing the laboratory, allege that Coppedge's termination was simply due to budget cuts and his demotion from team lead was because of harassment complaints and from on-going conflicts with his co-workers.
Conversely, Henig acknowledges that if the US had been a member, its reluctance to engage in war with European states and to enact economic sanctions may have hampered the ability of the League to deal with international incidents.
Conversely, simply having negative relationships with some women does not necessarily mean someone holds misogynistic views.

Conversely and safety
Conversely, if the engine is placed in front of the cabin, it might act as a battering ram and plow through obstacles in the airplane's path, providing an additional measure of safety.
Conversely there are those who do not object to the train whistle, as they believe it provides an important safety feature.

Conversely and statute
Conversely, the statutory defence of marital coercion is, on the face of the statute, available to a wife charged with attempted murder.

Conversely and does
Conversely, most heat-treatable alloys are precipitation hardening alloys, which produce the opposite effects that steel does.
Conversely, in an n-channel enhancement-mode device, a positive gate-to-source voltage is necessary to create a conductive channel, since one does not exist naturally within the transistor.
Conversely, the reasons internalist answers the question in the negative (" No, Sasha does not have a reason not to steal from that poor person, though others might .").
Conversely, the doubles team does not use the alleys when executing a shot.
Conversely, a scientific antirealist or instrumentalist argues that science does not aim ( or at least does not succeed ) at truth and that we should not regard scientific theories as true.
Conversely, cable control is immediate and physical, and through that offers a certain degree of direct force feedback that myoelectric control does not.
Conversely, the Chinese logogram for water (" 水 ") may have a slightly different appearance in Japanese texts than it does in Chinese texts, and local typefaces may reflect this.
Conversely, Roxanne Gentilcore reads in its diction and narrative strategies images of deception, veiled threat and seduction, in which Pomona, the tamed hamadryad now embodying the orchard, does not have a voice.
Conversely, an afflicted plantation can in some cases be cleared of pest species cheaply through the use of a prescribed burn, which kills all lesser plants but does not significantly harm the mature trees.
Conversely, in the category of rings, there are no kernels in the category-theoretic sense ; indeed, this category does not even have zero morphisms.
Conversely, some words appear to be a prefixed form of an opposite, but the opposite term does not exist, such as inept, which appears to be in-+ * ept ; such a word is known as an unpaired word.
Conversely, when a well mixed, eutectic alloy melts it does so at a single temperature.
Conversely, the selling price of a product made in a participating country and sold in a country that does not participate, bears no part of the tax burden of the country in which it is sold ( as do the domestic products it is competing with ).
Conversely, thread-safe code does not necessarily have to be reentrant ( see below for examples ).
Conversely, the creation by an author of an imaginary country — such as Ruritania or Graustark — does not automatically transform that imaginary country into a fantasy world, even if the location would be impossible in reality owing to a lack of land to contain it ; but such Ruritanian romances may be pushed toward the category of fantasy worlds by the introduction of, say, witches and wise women, where it is not clear if their magic is effectual.
Conversely, unlike a human being, an animal does not objectify itself, as “ the subject ”, nor its products as ideas,the object ”, because an animal engages in directly self-sustaining actions that have neither a future intention, nor a conscious intention.
Conversely, to English speakers who do not know Spanish, there is nothing redundant about " the La Brea tar pits " because the name " La Brea " is opaque: the speaker does not know that it is Spanish for " the tar ".
Conversely, FM Global does use the term " Approvals " for its certification listings, which are intended for use of the products within buildings that are insured by FM Global.
Conversely, S. cerevisiae has well-developed peroxisomes, while S. pombe does not.
Conversely, an attribute that does not occur in ANY candidate key is called a non-prime attribute.
* Conversely, a letter or group of letters can correspond to different phonemes in different contexts ( as th does in English ; originally this stood for a single phoneme, which then split ).
Conversely, in For Us, The Living, Scudder does establish for several years a de facto domination over the Mississippi Valley, and terrorizes much of the rest of the country by Ku Klux Klan – type thugs — but he is stopped at the last moment by the counter-mobilization of libertarians, and despite mass voter intimidation carries only Tennessee and Alabama.

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