Results 1 to 10 of about 54 (36)
Semigroup Forum, 1984 \textit{K. S. S. Nambooripad} [Mem. Am. Math. Soc. 224 (1979; Zbl 0457.20051)] introduced the concept of a (regular) biordered set to abstractly characterize the set of idempotents of a regular semigroup. He also described the biordered sets associated with bands.
exaly +2 more sources
Biordered sets come from semigroups
Journal of Algebra, 1985 The biordered set of a semigroup is the set of idempotents of the semigroup together with the partial operation obtained by restriction of the multiplication to those pairs of idempotents whose product is equal to one of them (i.e. one is a one-sided zero of the other).
exaly +2 more sources
A concept of variety for regular biordered sets
Semigroup Forum, 1994 A regular biordered set \((E,\cdot,\omega^ l, \omega^ r)\) is a set \(E\) together with two quasiorders \(\omega^ l\) and \(\omega^ r\) and a partial binary operation \(\cdot\), satisfying a finite (but somehow complicated) system of axioms. Regular biordered sets were introduced by \textit{K. S. S. Nambooripad} [Mem. Am. Math. Soc. 224 (1979; Zbl 0457.
exaly +3 more sources
Reconstructing some idempotent-generated semigroups from their biordered sets
Semigroup Forum, 1984 The authors investigate how many informations on a semigroup \(S\) are given by the partial algebra \(E(S)\) of the idempotents of \(S\) where a product of \((e,f)\) is defined iff, under the multiplication of \(S\), \(ef\) or \(fe\) is equal to one of its factors. \(E(S)\) is the biordered set of \(S\).
T E Hall, Hall T E
exaly +3 more sources
Biordered sets and complemented modular lattices
Semigroup Forum, 1980 In this paper we give a structure theorem for the biordered set of a strongly regular Baer semigroup. As a result we shall be able to construct the biordered set of the multiplicative semigroup of a regular ring in terms of the complemented modular lattice which is coordinatized by this regular ring.
exaly +3 more sources
Independence of axioms for biordered sets
Semigroup Forum, 1984 Biordered sets were introduced by \textit{K. S. S. Nambooripad} as an abstraction of the partial semigroup of idempotents of a semigroup [Mem. Am. Math. Soc. 224 (1979; Zbl 0457.20051]. Let X, Y be sets, \(\rho \subseteq X\times Y\) and put \(\rho(y)=\{x\in X:\quad x\rho y\}.\) A partial algebra is defined to be a set E equipped with a partial binary ...
exaly +3 more sources
Relations between cross-connections and biordered sets
Semigroup Forum, 1978 K S S Nambooripad, Nambooripad K S S
exaly +3 more sources
Malaya Journal of Matematik, 2016 In [4] K.S.S. Nambooripad introduced biordered sets as a partial algebra $\left(E, \omega^r, \omega^l\right)$ where $\omega^r$ and $\omega^l$ are two quasiorders on the set $E$ satisfying biorder axioms; to study the structure of a regular semigroup.
null P. G. Romeo, null R. Akhila
openaire +1 more source
Computational and Mathematical Methods in Medicine, Volume 2015, Issue 1, 2015., 2015 Oscillation is one of the most important phenomena in the chemical reaction systems in living cells. The general purpose simulation algorithms fail to take into account this special character and produce unsatisfying results. In order to enhance the accuracy of the integrator, the second‐order derivative is incorporated in the scheme.
Zhaoxia Chen +4 more
wiley +1 more source
Biordered sets are biordered subsets of idempotents of semigroups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984 AbstractA new arrow notation is used to describe biordered sets. Biordered sets are characterized as biordered subsets of the partial algebras formed by the idempotents of semigroups. Thus it can be shown that in the free semigroup on a biordered set factored out by the equations of the biordered set there is no collapse of idempotents and no new ...
openaire +2 more sources