Basic notions of (Constructive) semigroups with apartness

S Crvenković, M Mitrović, DA Romano - Semigroup Forum, 2016 - Springer
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[PDF][PDF] Some algebraic structures with apartness, A review

DA Romano - J. Int. Math. Virtual Inst, 2019 - imvibl.org
The logical environment of this text is the Intuitionistic Logic-a logic without the principle
of'Tertium non datur'and the principledphilosophical orientation of the Bishop's constructive …

Inverse semigroups with apartness

A Cherubini, A Frigeri - Semigroup Forum, 2019 - Springer
The notion of semigroups with apartness has been introduced recently as a constructive
counterpart of classical semigroups. On such structures, a constructive analogue of the …

[PDF][PDF] Co-ideals and co-filters in ordered set under co-quasiorder

DA Romano - Bull. Int. Math. Virtual Inst, 2018 - imvibl.org
In this paper, basing our consideration on the sets with the apartness relation, we analyze
characteristics of some special relations to these sets such as co-order and co-quasiorder …

Some results in constructive semigroup theory

E Darpö, M Mitrović - arXiv preprint arXiv:2103.07105, 2021 - arxiv.org
We give a constructive treatment of some basic concepts and results in semigroup theory.
Focusing on semigroups equipped with an apartness relation, we give analogues, from the …

[PDF][PDF] Γ-semigroups with apartness

DA Romano - Bull. Allahabad Math. Soc, 2019 - researchgate.net
As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ-semigroups.
In this paper we analyze the concept of Γ-semigroups with apartness. The logical setting of …

[PDF][PDF] On co-filters in semigroup with apartness

DA Romano - Kragujevac J. Math, 2021 - imi.pmf.kg.ac.rs
The logical environment of this research is the Intuitionistic Logic and principled-
philosophical orientation of the Bishop's Constructive Mathematics. In this paper, basing our …

[PDF][PDF] Co-filters in Γ-semigroups ordered under co-order

DA Romano - An. Stiint. Univ. Al. I. Cuza Iasi, Ser. Noua, Mat, 2021 - math.uaic.ro
As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ-semigroups.
In our paper (DA Romano, Γ-semigroups with apartness. Bull. Allahabad Math. Soc., 34 …

[PDF][PDF] An introduction to implicative semigroups with apartness

DA Romano - Sarajevo J. Math, 2016 - researchgate.net
The setting of this research is Bishop's constructive mathematics. Following ideas of Chan
and Shum, exposed in their famous paper “Homomorphisms of implicative semigroups”, we …

[PDF][PDF] On some mappings between co-quasiordered relational systems

DA Romano - 2017 - doisrpska.nub.rs
The setting of this article is Bishop's constructive mathematics. The connections between the
strong mappings, U-mappings and L-mappings of co-quasiorder relational systems we …