2021/09/17 by Anbarloei, Mahdi · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2109.08385
Let R be a multiplicative hyperring. In this paper, we define the concept of 1-absorbing prime hyperideals which is a generalization of the prime hyperideals. Several properties of the hyperideals are provided. Moreover, we introduce the notions of 1-absorbing primary hyperideals, strongly 1-absorbing primary hyperideals and weakly 1-absorbing primary hyperideals which are generalizations of the 1-absorbing prime hyperideals and then we will show some properties of them.