* Any ring A can be considered as a Z-algebra in a unique way.

* Any ring of characteristic n is a ( Z / nZ )- algebra in the same way.

* Any ring A is an algebra over its center Z ( A ), or over any subring of its center.

* Any commutative ring R is an algebra over itself, or any subring of R.

* Any ring of matrices with coefficients in a commutative ring R forms an R-algebra under matrix addition and multiplication.

* Any discrete valuation ring.

Any legal wrestler is open to attack from any direction at any time, including when they are downed, as long as they are within the ring area enclosed by the ring ropes.

Any type or number of topologies may be used -- star, bus, ring, etc.

* Any ring, thought of as a category with only one object, is a preadditive category.

Any ( non-graded ) ring A can be given a gradation by letting A < sub > 0 </ sub >

Any number system that forms a commutative ring — for instance, the integers, the real numbers, and the complex numbers — can be extended to a wheel in which division by zero is always possible ; however, in such a case, " division " has a slightly different meaning.

Any ring can be seen as a preadditive category with a single object.

* Any commutative ring becomes a *- ring with the trivial involution.

* Any ring R can be considered as a one-object preadditive category ; the category of left modules over R is the same as the additive functor category Add ( R, Ab ) ( where Ab denotes the category of abelian groups ), and the category of right R-modules is Add ( R < sup > op </ sup >, Ab ).

Any quotient of a ring by a maximal ideal is a simple ring.

Any prime number p gives rise to an ideal pO < sub > K </ sub > in the ring of integers O < sub > K </ sub > of a quadratic field K.

* Any algebra over a commutative ring K may be regarded as a purely even superalgebra over K ; that is, by taking A < sub > 1 </ sub > to be trivial.

Any n-dimensional formal group law gives an n dimensional Lie algebra over the ring R, defined in terms of the quadratic part F < sub > 2 </ sub > of the formal group law.

* Any two-sided ideal of a ring R is an R-bimodule.

* Any module over a commutative ring R is automatically a bimodule.

Any organism that falters or misperceives the signals or weakens is done.

Any information we have here in Taiwan is at your disposal ''.

Any claimant whose claim is denied, or is approved for less than the full amount of such claim, shall be entitled, under such regulations as the Commission may prescribe, to a hearing before the Commission, or its duly authorized representatives, with respect to such claim.

Any alteration of one of these factors is distortion, although we generally use that word only for effects so pronounced that they can be stated quantitatively on the basis of standard tests.

Any musician playing Beethoven here, where Beethoven was born, is likely to examine his own interpretations with special care.

Any action is understood to create " seeds " in the mind that sprout into the appropriate results ( Pāli vipaka ) when they meet the right conditions.

** Any union of countably many countable sets is itself countable.

Any information may be conveyed by an analog signal ; often such a signal is a measured response to changes in physical phenomena, such as sound, light, temperature, position, or pressure.

Any quantity of energy absorbed by the electron in excess of this amount is converted to kinetic energy according to the conservation of energy.

Any breach of these laws is a criminal offence and can lead to fine of up to £ 5, 000 or six months in prison.

The prohibition against retaliation or coercion applies broadly to any individual or entity that seeks to prevent an individual from exercising his or her rights or to retaliate against him or her for having exercised those rights ... Any form of retaliation or coercion, including threats, intimidation, or interference, is prohibited if it is intended to interfere.

Any word or phrase that exactly reproduces the letters in another order is an anagram.

Any work ( δW ) done must be done at the expense of internal energy U, since no heat δQ is being supplied from the surroundings.

" Any threat of war Clovis could make would only be effective if they were neighbors ; " it is nowhere written that Syagrius was handed over in 486 or 487.

Any player may declare the game over at any time during his turn if either of two conditions is true: one chain has 41 or more tiles, or there is at least one chain on the board and every chain on the board has 11 or more tiles.

Any person who is seen as a threat to civil aviation is banned from flying.

Any form of intelligent life would do ; so, specifying carbon-based life, per se, is irrelevant.

* Any base that is water-soluble and forms hydroxide ions or the solution of a base in water.

Any special photographic requirements are also given.

Any tax bill also will revive allegations that some of his followers have been using their administration affiliations imprudently to profit themselves.

Any of these reactions may be used in LPCVD, but the silane reaction is also done in APCVD.

Any subset of B is also well-ordered.

Any limit of regular ordinals is a limit of initial ordinals and thus is also initial but need not be regular.

Any new flag would also quickly become unlawful, due to wear and tear.

Any subgroup of atoms of a compound also may be called a radical, and if a covalent bond is broken homolytically, the resulting fragment radicals are referred as free radicals.

Although the 8080 was generally an 8-bit processor, it also had limited abilities to perform 16-bit operations: Any of the three 16-bit register pairs ( BC, DE, HL ) or SP could be loaded with an immediate 16-bit value ( using LXI ), incremented or decremented ( using INX and DCX ), or added to HL ( using DAD ).

* Combat knife: Any knife intended to be used by soldiers in the field, as a general-use tool, but also for fighting.

* plus VII: A-Ha's " Take on Me ", Gordon Lightfoot's " If You Could Read My Mind ", Amy Grant's " Good For Me ", Aretha Franklin's "( You Make Me Feel Like ) A Natural Woman " ( also Carole King ), Elvis Costello and the Attractions ' " Everyday I Write The Book ", and the Traveling Wilburys ' " Not Alone Any More ".

The Nijmegen Statement said: " Any form of Inquisition however subtle, not only harms the development of sound theology, it also causes irreparable damage to the credibility of the church ".

Any incidence of water is then used by migrating birds who also pass seeds with their droppings which will grow at the water's edge forming an oasis.

Any real mode operating system ( such as Xenix ) could also be made to run using OS / 2's virtual machine capabilities, subject to certain direct hardware access limitations.

Any decidable type system involves a trade-off: while it rejects many incorrect programs, it can also prohibit some correct, albeit unusual programs.

Any U. S. citizen with at least one year of residence on the island is also eligible for the official citizenship certificate.

Any potato variety can also be propagated vegetatively by planting tubers, pieces of tubers, cut to include at least one or two eyes, or also by cuttings, a practice used in greenhouses for the production of healthy seed tubers.

Any algebra whose elements are idempotent is also power-associative.

Any state joining the union later was also required to be a republic.

Any device that can store and playback multimedia may also be considered a media player such as in the case with the HD media player.

Any symmetry group whose elements have a common fixed point, which is true for all finite symmetry groups and also for the symmetry groups of bounded figures, can be represented as a subgroup of orthogonal group O ( n ) by choosing the origin to be a fixed point.

Any chemical species that is regenerated, such as a catalyst, also has a stoichiometric coefficient of zero.

Any domain name can also be a hostname, as long as the restrictions mentioned below are followed.

Any Englishman who married a Welsh woman also came under the Penal Laws of 1402.

Any container of food which has been heat-treated and then assumed to be airtight which shows signs of not being so, e. g., metal cans with pinprick holes from rust or mechanical damage, should also be discarded.