After the introduction of fuzzy sets by Zadeh [20] in 1965, several researchers have been working on the generalization of the fuzzification. In 1986, Atanassov [2] introduced the notion of intuitionistic fuzzy sets. For more details on the intuitionistic fuzzy sets, we refer to [2-4]. Fuzzy sets are intuitionistic fuzzy sets but the converse is not necessarily true [18]. Kim and Jun [7, 8] int...

We explicitly construct infinitely many a non-abelian strongly real Beauville p-groups for every prime p. Until very recently only finitely many non-abelian strongly real Beauville p-groups were known and all of these were 2-groups.

let r be a g-graded ring and m be a g-graded r-module. in this article, we introduce the concept of graded weakly classical prime submodules and give some properties of such submodules.

In this paper, we concentrate on studying the generalization of almost interior Γ-hyperideals in ordered Γ-semihypergroups. The notion weakly Γ-semihypergroups is introduced. This concept generalizes Then, characterization having no proper provided. Next, introduce fuzzy Also, some properties are considered. Moreover, concepts and characterized. connections between strongly prime (resp., prime,...

A characteristic set theory for partial difference polynomial systems is proposed. We introduce the concept of coherent and regular ascending chains and prove that a partial difference ascending chain is the characteristic set of its saturation ideal if and only if it is coherent and regular. This gives a method to decide whether a polynomial belongs to the saturation ideal of an ascending chai...

Strongly dependent ordered abelian groups have finite dprank. They are precisely those groups with finite spines and |{p prime : [G : pG] = ∞}| < ∞. We apply this to show that if K is a strongly dependent field, then (K, v) is strongly dependent for any henselian valuation v and the value group and residue field are stably embedded as pure structures.

The main purpose of this paper is to continue the study of uniform strong primeness on fuzzy setting. A pure fuzzy notion of this structure allows us to develop specific fuzzy results on USP (uniformly strongly prime) ideals over commutative and noncommutative rings. Besides, the differences between crisp and fuzzy setting are investigated. For instance, in crisp setting an ideal I of a ring R ...

We studied the influence of spatial visual attention on the time-course of primed pointing movements. We measured pointing responses to color targets preceded by color stimuli priming either the same or opposite response as the targets. Effects of visual attention at the prime/target locations were studied by giving endogenous attentional cues whose processing was a precondition for performing ...

Recall that a commutative ring R is said to be a pseudo-valuation ring if every prime ideal of R is strongly prime. We define a completely pseudovaluation ring. Let R be a ring (not necessarily commutative). We say that R is a completely pseudo-valuation ring if every prime ideal of R is completely prime. With this we prove that if R is a commutative Noetherian ring, which is also an algebra ov...

Each strongly minimal Steiner k-system (M, R) (where is R a ternary collinearity relation) can be ‘coordinatized’ in the sense of (Ganter–Werner 1975) by quasigroup if k prime-power. We show this coordinatization never definable and k-systems constructed (Baldwin–Paolini 2020) interpret quasigroup. Nevertheless, refining construction, prime power, each (2, k)-variety quasigroups (Definition 3.1...