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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...
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...
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 ...
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...
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...

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