On co-Filters in Semigroups with Apartness
نویسندگان
چکیده
The logical environment of this research is the Intuitionistic Logic and principled-philosophical orientation Bishop’s Constructive Mathematics. In paper, basing our consideration on sets with apartness relation, we analyze lattices all co-filters an ordered semigroup under a co-quasiorder as continuation article [?]. We prove number results related to in lattice such semigroups.
منابع مشابه
An Introduction to Implicative Semigroups with Apartness
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 discuss the structure of implicative semigroups on sets with tight apartness. Moreover, we use anti-orders instead of partial orders. We study concomitant issues induced by existence of apartness and anti-orders giving s...
متن کاملABSORBENT ORDERED FILTERS AND THEIR FUZZIFICATIONS IN IMPLICATIVE SEMIGROUPS
The notion of absorbent ordered filters in implicative semigroupsis introduced, and its fuzzification is considered. Relations among (fuzzy) orderedfilters, (fuzzy) absorbent ordered filters, and (fuzzy) positive implicativeordered filters are stated. The extensionproperty for (fuzzy) absorbent orderedfilters is established. Conditions for (fuzzy) ordered filters to be (fuzzy)absorbent ordered ...
متن کاملA Note on Coradical of Consistent Subset of Σ-reflexive Semigroups with Apartness
The concept of σ-reflexive semigroups is due to Chacron and Thierrin in 1972. In the present paper we discuss σ-reflexive semigroups with apartness. We prove some fundamental properties of these semigroups.
متن کاملon some bayesian statistical models in actuarial science with emphasis on claim count
چکیده ندارد.
15 صفحه اولGeneralized fuzzy filters in ordered semigroups
Fuzzy semigroup theory concentrates on theoretical aspects, but also includes applications in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. In this paper, we introduce the concept of an ( , )-fuzzy filter of an ordered semigroup , where , , , , with . Since the concept of ( , )-fuzzy filter is an important and useful generalization of ordinary fuzzy filter,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kragujevac journal of mathematics
سال: 2021
ISSN: ['2406-3045', '1450-9628']
DOI: https://doi.org/10.46793/kgjmat2104.607r