A note on annihilators in distributive nearlattices
نویسندگان
چکیده
منابع مشابه
Characterizations of relative n-annihilators of nearlattices
In this paper we have introduced the notion of relative n-annihilators around a fixed element n of a nearlattice S which is used to generalize several results on relatively nearlattices. We have also given some characterizations of distributive and modular nearlattices in terms of relative nannihilators.
متن کاملRelative Annihilators in Almost Distributive Lattices
Some properties of relative annihilators are studied in Almost Distributive Lattices (ADLs). Prime ideal conditions on ADLs are investigated in connection with the relative annihilators. The concept of Boolean congruences is introduced and characterized in terms of relative annihilators. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.
متن کاملA note on infinitely distributive inverse semigroups
By an infinitely distributive inverse semigroup will be meant an inverse semigroup S such that for every subset X ⊆ S and every s ∈ S, if ∨ X exists then so does ∨ (sX), and furthermore ∨ (sX) = s ∨ X. One important aspect is that the infinite distributivity of E(S) implies that of S; that is, if the multiplication of E(S) distributes over all the joins that exist in E(S) then S is infinitely d...
متن کاملA Note on Submodular Functions on Distributive Lattices
A NOTE ON SUBMODULAR FUNCTIONS ON DISTRIBUTIVE LATTICES Satoru Fujishige University of Tsukuba Nobuaki Tomizawa Niigata University (Received July 15, 1982; Rllvised June 14, 1983) Let D be a distributive lattice formed by subsets of a finite set E with 1/>, E E D and let R be the set of reals. Also let f be a submodular function from D into R with f(l/» = O. We determine the set of extreme poin...
متن کاملA NOTE ON CONGRUENCE LATTICES OF DISTRIBUTIVE p–ALGEBRAS
A (distributive) p-algebra is an algebra 〈L;∨,∧, ∗, 0, 1〉 whose reduct 〈L;∨,∧, 0, 1〉 is a bounded (distributive) lattice and whose unary operation ∗ is characterized by x ≤ a if and only if a ∧ x = 0. If L is a p-algebra, B(L) = { x ∈ L : x = x } and D(L) = { x ∈ L : x = 1 } then 〈B(L);∪,∧, 0, 1〉 is a Boolean algebra when a ∪ b is defined to be (a∗ ∧ b∗)∗, for any a, b ∈ B(L), D∗(L) = { x ∨ x∗ ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2015
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2015.1325