جستجوی مقالات مرتبط با کلیدواژه
تکرار جستجوی کلیدواژه generated $l$ در نشریات گروه علوم پایه
generated $l$
در نشریات گروه ریاضی
تکرار جستجوی کلیدواژه generated $l$ در مقالات مجلات علمی
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This paper presents and investigates the concept of soft optimal maps within the framework of soft topological spaces. A soft map is called soft optimal if it preserves soft disjointness for soft open sets in the soft structure. The link between soft injectivity and soft optimality is investigated, revealing that every soft injective map is soft optimal, but the converse is not true. Some correlations between this class of soft optimal maps and its analogs in general topology are given. The paper further shows that soft optimality is independent of all forms of soft continuity, soft openness, and soft closedness. Furthermore, the impact of soft optimality on soft semi-Hausdorff and soft Hausdorff properties is considered with concrete theorems showing how soft optimality affects the soft semi-Hausdorff state in soft topological spaces under various soft continuity assumptions. Finally, we show that the soft optimal map, which is soft s-open and soft pre-continuous, will preserve soft disjointness for the class of soft semi-open sets.Keywords: Soft Hausdorff, Soft Semi-Hausdorff, Soft Pre-Continuous Function, Soft Semi-Continuous Function, Generated Soft Topology
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The algebra A is generated by idempotents if the generated algebra by its idempotents equal to A. In this paper we show that if N is a finite nest on a complex Hilbert space H, then the nest algebra A 1g N is generated by its idempotents. Then we obtain some results by applying our main result. Especially, we give a simple proof for that is any finite nest algebra A 1g N, is a zero product determined algebra.
Keywords: nest algebra, generated by idempotents -
In this paper, we extend the construction of a fuzzy subgroup generated by a fuzzy subset to $L$-setting. This construction is illustrated by an example. We also prove that for an $L$-subset of a group, the subgroup generated by its level subset is the level subset of the subgroup generated by that $L$-subset provided the given $L$-subset possesses sup-property.Keywords: $L$, algebra, $L$, subgroup, Normal $L$, subgroup, Generated $L$, subgroup
نکته
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