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all records (12)

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33  Articles
1 of 4 pages  |  10  records  |  more records»
In this paper, we establish infinite families of congruences in consecutive arithmetic progressions modulo any odd prime l\ell for the function p(n,m,N)p\big(n,m,N\big), which enumerates the partitions of nn into at most mm parts with no part larger than ... see more

Consider a line congruence in P4(C) or, equivalently, a smooth threefold V in the Grassmannian G(1,4); We say that the congruence has type (m,n) if V is numerically equivalent to mO(0,4)+nO(1,3). We prove that there are no general, non-degenerate line con... see more

Let spt (n) denote the total number of appearances of the smallest part in each partition of n. In 1988, Garvan gave new combinatorial interpretations of  Ramanujan’s partition congruences mod 5, 7 and 11 in terms of a crank for weighted vector parti... see more

A basic tool in universal algebra is that of a congruence. It has been shown that congruences can be defined  for graphs with properties similar to their universal algebraic counterparts. In particular, a subdirect product of graphs and hence also a ... see more

This paper obtains a characterisation of the congruences on *-simple type A I-semigroups. The *-locally idempotent-separating congruences, strictly *-locally idempotent-separating congruences and minimum cancellative monoid congruences, are characterised.

The present note is an Erratum for the two theorems of the paper "Congruences and ideals in a distributive lattice with respect to a derivation" by M. Sambasiva Rao.

Modal pseudocomplemented De Morgan algebras (or mpM-algebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 53, 1 (2014), pp. 65–79, and they... see more

Some alternative characterizations of late full congruences, either strong or weak, are presented. Those congruences are classically defined by requiring the corresponding ground bisimilarity under all name substitutions. We first improve on those infinit... see more

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