# Radical classes of distributive lattices having the least element

Mathematica Bohemica (2002)

- Volume: 127, Issue: 3, page 409-425
- ISSN: 0862-7959

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topJakubík, Ján. "Radical classes of distributive lattices having the least element." Mathematica Bohemica 127.3 (2002): 409-425. <http://eudml.org/doc/249068>.

@article{Jakubík2002,

abstract = {Let $\mathcal \{D\}$ be the system of all distributive lattices and let $\mathcal \{D\}_0$ be the system of all $L\in \mathcal \{D\}$ such that $L$ possesses the least element. Further, let $\mathcal \{D\}_1$ be the system of all infinitely distributive lattices belonging to $\mathcal \{D\}_0$. In the present paper we investigate the radical classes of the systems $\mathcal \{D\}$, $\mathcal \{D\}_0$ and $\mathcal \{D\}_1$.},

author = {Jakubík, Ján},

journal = {Mathematica Bohemica},

keywords = {distributive lattice; infinite distributivity; radical class; distributive lattice; infinite distributivity; radical class},

language = {eng},

number = {3},

pages = {409-425},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Radical classes of distributive lattices having the least element},

url = {http://eudml.org/doc/249068},

volume = {127},

year = {2002},

}

TY - JOUR

AU - Jakubík, Ján

TI - Radical classes of distributive lattices having the least element

JO - Mathematica Bohemica

PY - 2002

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 127

IS - 3

SP - 409

EP - 425

AB - Let $\mathcal {D}$ be the system of all distributive lattices and let $\mathcal {D}_0$ be the system of all $L\in \mathcal {D}$ such that $L$ possesses the least element. Further, let $\mathcal {D}_1$ be the system of all infinitely distributive lattices belonging to $\mathcal {D}_0$. In the present paper we investigate the radical classes of the systems $\mathcal {D}$, $\mathcal {D}_0$ and $\mathcal {D}_1$.

LA - eng

KW - distributive lattice; infinite distributivity; radical class; distributive lattice; infinite distributivity; radical class

UR - http://eudml.org/doc/249068

ER -

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