Results 11 to 20 of about 382 (63)
Admissible congruences on type B semigroups
Open Mathematics, 2022 The main aim of this article is to study admissible congruences on a type B semigroup. First, we give characterizations of the minimum admissible congruence whose trace is a normal congruence on a type B semigroup.
Li Chunhua +3 more
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Continued fractions built from convex sets and convex functions [PDF]
, 2014 In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions with deterministic terms are provided.
Molchanov, Ilya
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Lattice modules having small cofinite irreducibles
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 161-166, 2001., 2001 We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.
E. W. Johnson +2 more
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Bi-Interior Ideals of Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior ideals of semigroup, simple semigroup ...
Rao M. Murali Krishna
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Algebraic properties of external numbers
Journal of Logic and Analysis, 2011 Neutrices and external numbers were proposed as models of orders of magnitude within nonstandard analysis. We show that the external numbers form a commutative regular semigroup for addition and that the external numbers which are not neutrices form a ...
Bruno Miguel Antunes Dinis, I. Berg
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Some results on ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 12, Page 731-735, 2001., 2001 We introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets.
Young Bae Jun
wiley +1 more source
Identities in the Algebra of Partial Maps [PDF]
, 2006 We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Jackson, Marcel, Stokes, Tim E.
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On ideals of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 2, Page 77-82, 2001., 2001 We introduce the notion of ideals in implicative semigroups, and then state the characterizations of the ideals.
Young Bae Jun, Kyung Ho Kim
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On homological classification of pomonoids by GP-po-flatness of S-posets
Open Mathematics, 2016 In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness.
Liang Xingliang +2 more
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A new characterization of a proper type B semigroup
Open Mathematics, 2020 In this paper, we develop the elementary theory of inverse semigroups to the cases of type B semigroups. The main aim of this paper is to study proper type B semigroups. We introduce first the concept of a left admissible triple.
Li Chunhua, Pei Zhi, Xu Baogen
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