Results 11 to 20 of about 17,059 (136)
Multiplicatively idempotent semirings [PDF]
Let \((S,+,\cdot)\) be an additively commutative semiring with absorbing zero \(0\) and identity \(1\). It is shown that \((S,\cdot)\) is idempotent if and only if there exist positive integers \(n\) and \(m\geq 2\) such that \(x^{n+1}=x^n\) and \(x^m=x\) for all \(x\in S\).
Chajda, Ivan +2 more
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Projective Essential Idempotents
<p>This paper introduces the concept of projective essential idempotents. These are primitive central idempotents in a twisted group algebra. The first main result provides conditions for the existence of them. In the second main result, we prove that every $q$-ary simplex code can be seen as an ideal of a twisted group algebra generated by a ...
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Absolutely flat idempotents [PDF]
11 pages, Electronic Journal of Linear ...
Johnson, Charles R. +4 more
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Threads without idempotents [PDF]
If a thread S has no idempotents and if S2 = S, then S is iseomorphic with the real interval (0, 1) under ordinary multiplication [2, Corollary 5.6]. Although the result is not nearly as pleasing as the special case just quoted, we shall give here a description of any thread without idempotents.
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p-Jones-Wenzl idempotents [PDF]
15 pages, 21 figures. Many minor changes. Major change of notation.
Burrull G., Libedinsky N., Sentinelli P.
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Dynamics near an idempotent [PDF]
15 pages, Comments and suggestions are welcome.
Shaikh, Md. Moid +2 more
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Idempotent Noether lattices [PDF]
In his paper, Abstract commutative ideal theory [2 ], Dilworth proved that a Noether lattice on which the multiplication is the meet operation is a finite Boolean algebra. This note proves that if the multiplication in a Noether lattice is idempotent (A2= A for all A in the lattice), then the lattice is a finite Boolean algebra.
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Abstract A tree language of a fixed type τ is any set of terms of type τ. We consider here a binary operation + n on the set Wτ (Xn ) of all n-ary terms of type τ, which results in semigroup (Wτ (Xn ...
Denecke, K., Sarasit, N., Wismath, S. L.
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This paper deals with aggregation operators. A new class of aggregation operators, called asymptotically idempotent, is introduced. A generalization of the basic notion of aggregation operator is provided, with an in-depth discussion of the notion of idempotency.
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The Milnor-Moore theorem says that in characteristic zero, any connected graded cocommutative bialgebra \(A\) is canonically isomorphic to the enveloping bialgebra of the Lie algebra of its primitive elements \(\text{Prim}(A)\). There is a weaker form known as the Leray theorem, whose dual statement is that any retract of the vector space inclusion of \
Patras, Frédéric +1 more
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