Strongly hollow elements in the lattices

Let L be a lattice with the greatest element ۱. Following the concept of strongly hollow elements of commutative rings, we define strongly hollow elements of lattices and we will make an intensive investigate the basic properties and possible structures of these elements.

Keywords:

lattice , Completely strongly hollow filter , Strongly hollow element

Authors

Shahabaddin Ebrahimi Atani

Department of Mathematics, University of Guilan, P.O.Box ۱۹۱۴, Rasht, Iran.

Mehdi Khoramdel

Department of Mathematics, University of Guilan, P.O.Box ۱۹۱۴, Rasht, Iran.

Saboura Dolati Pish Hesari

Department of Mathematics, University of Guilan, P.O.Box ۱۹۱۴, Rasht, Iran.

Mahsa Nikmard Rostam Alipour

Department of Mathematics, University of Guilan, P.O.Box ۱۹۱۴, Rasht, Iran.

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https://civilica.com/doc/1251321

شناسه ملی سند علمی:

JR_CJMS-10-1_002

تاریخ نمایه سازی: 17 مرداد 1400

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Ebrahimi Atani, Shahabaddin and Khoramdel, Mehdi and Dolati Pish Hesari, Saboura and Nikmard Rostam Alipour, Mahsa,1400,Strongly hollow elements in the lattices,https://civilica.com/doc/1251321

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Type of center: دانشگاه دولتی

Paper count: 20,757

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