Results 11 to 20 of about 345 (71)
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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A characterization of translational hulls of a strongly right type B semigroup
Open Mathematics, 2019 The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of a strongly right type B semigroup is itself a strongly right type B semigroup. As an application, we
Li Chunhua, Xu Baogen
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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
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On the coset category of a skew lattice [PDF]
, 2014 Skew lattices are non-commutative generalizations of lattices. The coset structure decomposition is an original approach to the study of these algebras describing the relation between its rectangular classes.
Costa, Joao Pita
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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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Positive implicative ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 801-806, 2000., 2000 We introduce the notion of positive implicative ordered filters in implicative semigroups. We show that every positive implicative ordered filter is both an ordered filter and an implicative ordered filter. We give examples that an ordered filter (an implicative ordered filter) may not be a positive implicative ordered filter.
Young Bae Jun, Kyung Ho Kim
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p‐systems in local Noether lattices
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 655-660, 1994., 1993 In this paper we introduce the concept of a p‐system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements.
E. W. Johnson +2 more
wiley +1 more source