Pseudo-Valuation Near ring and Pseudo-Valuation N-group in Near Rings

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SADEGHI GOUGHERI MAHDIEH; ROUDBARY LOR TAHEREH

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2020 | Volume:6 | Issue:24 Page(s): 65-75

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Title

Pseudo-Valuation Near ring and Pseudo-Valuation N-group in Near Rings

Author(s)

SADEGHI GOUGHERI MAHDIEH | ROUDBARY LOR TAHEREH

Keywords

strongly prime

pseudo

valuation near ring

strongly prime N

subgroup

pseudo

valuation N

group

prime N

subgroup

Abstract

In this paper, persents the definitions of strongly prime ideal, prime N/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">strongly prime N-subgroup, pseudo-valuation Near ring/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">valuation Near ring and pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of , for any multiplication subset S of N. In addition, they obtained the relation between strongly prime ideal and prime N/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">strongly prime N-group, and also between pseudo-valuation Near ring/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">valuation Near ring and pseudo-valuation N-subgroup. It has also shown that if every N-subgroup be ideal of M and P be a prime N/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">strongly prime N-subgroup of M, then (P: M) is a strongly prime ideal of N. And in the end it is proved that if P and L of N-subgroups M and Psubset of L such that for any y in K , y-1P subset of P, then L is a prime N/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">strongly prime N-subgroup of M if and only if L/p is a prime N/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">strongly prime N-subgroup of M/p.

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APA: Copy

SADEGHI GOUGHERI, MAHDIEH, & ROUDBARY LOR, TAHEREH. (2020). Pseudo-Valuation Near ring and Pseudo-Valuation N-group in Near Rings. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(24 ), 65-75. SID. https://sid.ir/paper/969263/en

Vancouver: Copy

SADEGHI GOUGHERI MAHDIEH, ROUDBARY LOR TAHEREH. Pseudo-Valuation Near ring and Pseudo-Valuation N-group in Near Rings. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2020;6(24 ):65-75. Available from: https://sid.ir/paper/969263/en

IEEE: Copy

MAHDIEH SADEGHI GOUGHERI, and TAHEREH ROUDBARY LOR, “Pseudo-Valuation Near ring and Pseudo-Valuation N-group in Near Rings,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 24 , pp. 65–75, 2020, [Online]. Available: https://sid.ir/paper/969263/en

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