On JB-semigroups

Endam, Joemar C.; Vilela, Jocelyn P.

doi:10.12988/ams.2015.46427

Cited by 8 publications

(7 citation statements)

References 3 publications

(5 reference statements)

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“…Example . Consider the -algebra = {0, , , } with the binary operation " * " defined on the Cayley table provided in Table 1 (see [13]). Let = { , ⌀, {0, }, { , }}.…”

Section: Initial Properties Of Topological -Algebrasmentioning

confidence: 99%

Analyzing Some Structural Properties of Topological B-Algebras

Gonzaga

2019

International Journal of Mathematics and Mathematical Sciences

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In this study, we investigate the topology on B-algebras: an algebraic system of propositional logic. We define here the notion of topological B-algebras (briefly, TB-algebras) and some properties are investigated. A characterization of TB-algebras based on neighborhoods is provided. We also provide a filterbase that generates a unique B-topology, making a TB-algebra in which the filterbase is a neighborhood base of the constant element, provided that the given B-algebra is commutative. Finally, we investigate subalgebras of TB-algebras and introduce the notion of quotient TB-algebras of the given B-algebra.

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“…Example . Consider the -algebra = {0, , , } with the binary operation " * " defined on the Cayley table provided in Table 1 (see [13]). Let = { , ⌀, {0, }, { , }}.…”

Section: Initial Properties Of Topological -Algebrasmentioning

confidence: 99%

Analyzing Some Structural Properties of Topological B-Algebras

Gonzaga

2019

International Journal of Mathematics and Mathematical Sciences

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“…We next introduce the concepts of f -UP-field and f -UP-domain analogous to the definitions of JB-field and JB-domain given by J. Endam and J. Vilela [2].…”

Section: Proposition 2 [3]mentioning

confidence: 99%

Some Structural Properties of Fully UP-semigroups

Gomisong

Isla

2019

Eur. J. Pure Appl. Math.

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This paper investigates a new class of algebra related to UP-algebras and semigroups called fully UP-semigroups (or f -UP-semigroups). It establishes some structural properties of f -UP-semigroups. It also introduces and examines f -UP-fields, f -UP-domains, f -UP-ideals, and quotient f -UP-semigroups. Moreover, it investigates the relationship between an f -UP-field and an f -UP-domain. 2010 Mathematics Subject Classifications: 03G25, 08A99

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“…In 2006, Kim [14] introduced the notion of KS-semigroups. In 2015, Endam and Vilela [3] introduced the notion of JB-semigroups. In 2018, Iampan [6] introduced the notion of fully UPsemigroups.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Soft Sets over Fully UP-Semigroups

Satirad

Iampan

2019

Eur. J. Pure Appl. Math.

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In this paper, we introduce ten types of fuzzy soft sets over fully UP-semigroups, and investigate the algebraic properties of fuzzy soft sets under the operations of (extended) intersection and (restricted) union.Further, we discuss the relation between some conditions of fuzzy soft sets and fuzzy soft UP$\mathrm{_{s}}$-subalgebras (resp., fuzzy soft UP$\mathrm{_{i}}$-subalgebras, fuzzy soft near UP$\mathrm{_{s}}$-filters, fuzzy soft near UP$\mathrm{_{i}}$-filters, fuzzy soft UP$\mathrm{_{s}}$-filters, fuzzy soft UP$\mathrm{_{i}}$-filters, fuzzy soft UP$\mathrm{_{s}}$-ideals, fuzzy soft UP$\mathrm{_{i}}$-ideals, fuzzy soft strongly UP$\mathrm{_{s}}$-ideals, fuzzy soft strongly UP$\mathrm{_{i}}$-ideals) of fully UP-semigroups.

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On JB-semigroups

Cited by 8 publications

References 3 publications

Analyzing Some Structural Properties of Topological B-Algebras

Analyzing Some Structural Properties of Topological B-Algebras

Some Structural Properties of Fully UP-semigroups

Fuzzy Soft Sets over Fully UP-Semigroups

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