A linear-time algorithm that avoids inverses and computes Jackknife (leave-one-out) products like convolutions or other operators in commutative semigroups [PDF]
Background Data about herpesvirus microRNA motifs on human circular RNAs suggested the following statistical question. Consider independent random counts, not necessarily identically distributed.
John L. Spouge +2 more
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Varieties Of Permutative Semigroups Closed Under Dominions [PDF]
In this paper, we partially generalize a result of Isbell from the class of commu- tative semigroups to some generalized class of commutative semigroups by showing that dominion of such semigroups belongs to the same class by using Isbell’s zigzag ...
Humaira Maqbool, Mohammad Bhat
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Deviation bounds and concentration inequalities for quantum noises [PDF]
We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum optics experiments, we derive an optimal finite time deviation bound expressed in terms of the ...
Tristan Benoist +2 more
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Epimorphisms, Dominions, and Various Classes of Saturated Semigroups
In this paper, we discussed some saturated classes of ℋ-commutative semigroups, left (right) regular semigroups, medial semigroups, and paramedial semigroups. The results of this paper significantly extend the long standing result about normal bands that
N. Alam +4 more
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The rank of a commutative semigroup [PDF]
Summary: The concept of rank of a commutative cancellative semigroup is extended to all commutative semigroups \(S\) by defining \(\text{rank\,}S\) as the supremum of cardinalities of finite independent subsets of \(S\). Representing such a semigroup \(S\) as a semilattice \(Y\) of (Archimedean) components \(S_\alpha\), we prove that \(\text{rank\,}S\)
Cegarra, Antonio M., Petrich, Mario
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On determinability of idempotent medial commutative quasigroups by their endomorphism semigroups; pp. 81–87 [PDF]
We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76â104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial ...
Alar Leibak, Peeter Puusemp
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Locality and Centrality: The Variety ZG [PDF]
We study the variety ZG of monoids where the elements that belong to a group are central, i.e., commute with all other elements. We show that ZG is local, that is, the semidirect product ZG * D of ZG by definite semigroups is equal to LZG, the variety of
Antoine Amarilli, Charles Paperman
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New models for some free algebras of small ranks
Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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On the joins of semigroup varieties with the variety of commutative semigroups [PDF]
We show that the join of a variety of semigroups and the variety of all commutative semigroups is not finitely based, provided some weak conditions.
Sapir, M. V., Volkov, M. V.
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Right derivations on ordered semigroups [PDF]
Over the last few decades, several authors have investigated the relationship between the commutativity of ring R and the existence of certain specified derivations of R.
M. Murali Krishna Rao
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