共查询到20条相似文献,搜索用时 19 毫秒
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Jie FANG 《数学学报(英文版)》2007,23(9):1611-1620
An algebraic structure A is said to have the endomorphism kernel property if every congruence on A, other than the universal congruence, is the kernel of an endomorphism on A. In this paper, we consider the EKP (that is, endomorphism kernel property) for an extended Ockham algebra A. In particular, we describe the structure of the finite symmetric extended de Morgan algebras having EKP. 相似文献
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罗从文 《数学物理学报(B辑英文版)》2011,31(3):1113-1122
Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained by Jie Fang on symmetric extended De Morgan algebras are generalized. 相似文献
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《代数通讯》2013,41(6):2225-2242
Abstract An algebra 𝒜 has the endomorphism kernel property if every congruence on 𝒜 different from the universal congruence is the kernel of an endomorphism on 𝒜. We first consider this property when 𝒜 is a finite distributive lattice, and show that it holds if and only if 𝒜 is a cartesian product of chains. We then consider the case where 𝒜 is an Ockham algebra, and describe in particular the structure of the finite de Morgan algebras that have this property. 相似文献
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在[1][2][3]基础上,我们在德摩根代数上建立了拟一致和拟邻近两个新概念,并着重讨论了它们之间的关系。 相似文献
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Hernando Gaitn 《Mathematical Logic Quarterly》1998,44(4):553-567
In this paper we characterize the join irreducible elements of the free algebras on n free generators in the subvarieties of the variety V0 of pseudocomplemented De Morgan algebras satisfying the identity xx′* = (xx′*)′*. 相似文献
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A characterization of principal congruences of the subvariety C of semi-DeMorgan algebras is given. This characterization is applied to determine the subdirectly irreducible algebras of
the variety C and to describe a poset such that the lattice of its order ideals is isomorphic to the lattice of subvarieties of C.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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B. M. Vernikov 《Algebra and Logic》2004,43(6):357-364
A semigroup variety is said to be of index 2 if all nil-semigroups of the variety are semigroups with zero multiplication. We describe all semigroup varieties V of index 2 on free objects of which every two fully invariant congruences contained in the least semilattice congruence are weakly permutable, and semigroup varieties of index 2 all of whose subvarieties share the above-mentioned property. 相似文献
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研究全稳定广义生灭最小Q过程的可配称性,获得广义生灭最小Q过程是可配称的充分必要条件,以及最小Q过程是唯一的可配称Q过程的充分必要条件. 相似文献
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We develop a symmetric analog of brace algebras and discuss the relation of such algebras to L∞-algebras. We give an alternate proof that the category of symmetric brace algebras is isomorphic to the category of pre-Lie algebras. As an application, symmetric braces are used to describe transfers of strongly homotopy structures. We then explain how these symmetric brace algebras may be used to examine the L∞-algebras that result from a particular gauge theory for massless particles of high spin.Mathematics Subject Classifications (2000) 55S20 (primary), 70S15 (secondary).Tom Lada: The research of the first author was supported in part by NSF grant INT-0203119.Martin Markl: The research of the second author was supported by grant MŠMT ME 603 and by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503. 相似文献
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在De Morgan代数上引入广义R0算子,举例说明了一般De Morgan代数中的广义R0算子不能构成t-模。引入强De Morgan代数的概念,讨论它的基本性质,证明强De Morgan代数L上的广义R0算子构成t-模(称为广义R0t-模)。给出若干重要反例,并证明强De Morgan代数上的广义R0t-模是左连续的。 相似文献
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Here we introduce a subclass of the class of Ockham algebras ( L ; f ) for which L satisfies the property that for every x ∈ L , there exists n ≥ 0 such that fn ( x ) and fn+1 ( x ) are complementary. We characterize the structure of the lattice of congruences on such an algebra ( L ; f ). We show that the lattice of compact congruences on L is a dual Stone lattice, and in particular, that the lattice Con L of congruences on L is boolean if and only if L is finite boolean. We also show that L is congruence coherent if and only if it is boolean. Finally, we give a sufficient and necessary condition to have the subdirectly irreducible chains. 相似文献
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We study dually flat structures on symmetric cones associated with Jordan algebras. We give an interpretation of connections, a geometrical concept, in terms of Jordan algebras and show a relation between doubly autoparallel submanifolds and Jordan subalgebras. 相似文献
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Let S be a semigroup and 𝔽 be a field. For an ideal J of the semigroup algebra 𝔽[S] of S over 𝔽, let ?J denote the restriction (to S) of the congruence on 𝔽[S] defined by the ideal J. A semigroup S is called a permutable semigroup if α ○ β = β ○ α is satisfied for all congruences α and β of S. In this paper we show that if S is a semilattice or a rectangular band then φ{S; 𝔽}: J → ?J is a homomorphism of the semigroup (Con(𝔽[S]); ○ ) into the relation semigroup (?S; ○ ) if and only if S is a permutable semigroup. 相似文献
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ANoteontheSubdirectlyIrreducibleckhamAlgebras¥FangJie(Departmentofmathematics,ZhongshanUniversity,Guangzhou,510275)Abstract:T... 相似文献
19.
Congruence relations on de Morgan algebras 总被引:4,自引:0,他引:4
Various classes of de Morgan algebras whose congruence relations satisfy special conditions are investigated together with their interrelationship. In particular, the classes of congruence permutable, congruence regular, and congruence uniform de Morgan algebras are studied.Presented by Joel Berman. 相似文献
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引入一个具有Heyting结构Ockham代数,简称HO-代数.所谓HO-代数,是指具有(2,2,2,1,0,0)类型的代数(L;∧,∨,→,f,0,1).其中(L;f)是Ockham代数,(L;→)是Heyting代数,且运算f和→由恒等式f(x→y)=f^2(x)∧f(y)与f(x)→y=f^2(x)∨y所连结.主要讨论了HO-代数的同余关系的性质.并刻画了其次直不可约代数的某些性质. 相似文献