Closed loops: persistence of the protein chain returns
نویسندگان
چکیده
منابع مشابه
The Structure of Conjugacy Closed Loops
We study structure theorems for the conjugacy closed (CC-) loops, a specific variety of G-loops (loops isomorphic to all their loop isotopes). These theorems give a description all such loops of small order. For example, if p and q are primes, p < q, and q − 1 is not divisible by p, then the only CC-loop of order pq is the cyclic group of order pq. For any prime q > 2, there is exactly one non-...
متن کاملPower-associative, Conjugacy Closed Loops
We study conjugacy closed loops (CC-loops) and power-associative CC-loops (PACC-loops). If Q is a PACC-loop with nucleus N , then Q/N is an abelian group of exponent 12; if in addition Q is finite, then |Q| is divisible by 16 or by 27. There are eight nonassociative PACC-loops of order 16, three of which are not extra loops. There are eight nonassociative PACC-loops of order 27, four of which h...
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The most potentially powerful objection to the possibility of time travel stems from the fact that it can, under the right conditions, give rise to closed causal loops, and closed causal loops can be turned into self-defeating causal chains; folks killing their infant selves, setting out to destroy the world before they were born, and the like. It used to be thought that such chains present par...
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Diassociativity in Conjugacy Closed Loops
Let Q be a conjugacy closed loop, and N(Q) its nucleus. Then Z(N(Q)) contains all associators of elements of Q. If in addition Q is diassociative (i.e., an extra loop), then all these associators have order 2. If Q is power-associative and |Q| is finite and relatively prime to 6, then Q is a group. If Q is a finite non-associative extra loop, then 16 | |Q|.
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ژورنال
عنوان ژورنال: Protein Engineering, Design and Selection
سال: 2002
ISSN: 1741-0134,1741-0126
DOI: 10.1093/protein/15.12.955