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A FIVE ELEMENT BASIS FOR THE UNCOUNTABLE LINEAR ORDERS
FIVE ELEMENT BASIS UNCOUNTABLE LINEAR ORDERS
2015/8/17
In this paper I will show that it is relatively consistent with the usual axioms of mathematics (ZFC) together with a strong form of the axiom of infinity (the existence of a supercompact cardinal) th...
BOUNDING THE CONSISTENCY STRENGTH OF A FIVE ELEMENT LINEAR BASIS
CONSISTENCY STRENGTH FIVE ELEMENT LINEAR BASIS
2015/8/17
In [13] it was demonstrated that the Proper Forcing Axiom implies that there is a five element basis for the class of uncountable linear orders. The assumptions needed in the proof have consistency st...
This paper provides an explicit isomorphism between the Birman-Wenzl algebra BWn, constructed by J. Birman and H. Wenzl, and the Kauffman algebra MTn, subsequently constructed by H.R. Morton and P. Tr...
Kazhdan-Lusztig basis for generic Specht modules
Hecke algebra Coxeter group Kazhdan-Lusztig bases Specht module
2011/1/20
In this paper, we let H be the Hecke algebra associated with a finite Coxeter group W and with one-parameter, over the ring of scalars A = Z(q, q−1). With an elementary method, we introduce a ce...
We give a necessary and sufficient PBW basis criterion for Hopf algebras generated by skew-primitive elements and abelian group of group-like elements with action given via characters. This class of ...
Hilbert basis of the Lipman semigroup
normal surface singularity toric variety Lipman semigroup Hilbert basis
2010/11/29
In this work, we give a new method to compute the Hilbert basis,a finite set of generators, for the semigroup of certain positive divisors supported on the exceptional divisor of a normal surface sing...
Weakly Ordered Multiplicative Basis of An Algebra Related to Quiver Theory
ordered multiplicative basis quiver generalized path algebra skew group algebra
2018/4/19
In this paper, for an algebra, weakly ordered multiplicative basis with weakly admissibleorder is introduced as an invariant under almost Morita equivalence and it is shown that an algebra with weakly...