Subalgebra lattices of unary algebras and an axiom of choice
Subalgebra modular, distributive and boolean varieties of semigroups
Subalgebras and homomorphic images of algebras having the CEP and the WCIP
In the present paper we consider algebras satisfying both the congruence extension property (briefly the CEP) and the weak congruence intersection property (WCIP for short). We prove that subalgebras of such algebras have these properties. We deduce that a lattice has the CEP and the WCIP if and only if it is a two-element chain. We also show that the class of all congruence modular algebras with the WCIP is closed under the formation of homomorphic images.
Subalgebras that are Cyclic as Submodules.
Subcoherent algebras
Subdirect products of certain varieties of unary algebras
J. Płonka in [12] noted that one could expect that the regularization of a variety of unary algebras is a subdirect product of and the variety of all discrete algebras (unary semilattices), but is not the case. The purpose of this note is to show that his expectation is fulfilled for those and only those irregular varieties which are contained in the generalized variety of the so-called trap-directable algebras.
Subdirect representations in axiomatic classes
Subdirectly irreducible algebras of quasiordered logics
Subdirectly irreducible groupoids in some varieties
Subtraction semigroups
A subtraction semigroup is a semigroup with a further operation "" added, called subtraction and satisfying certain axioms. The paper concerns a problem by B. M. Schein concerning the structure of multiplication in a subtraction semigroup.
Subtractive groupoids and TST-spaces
Support vector machine skin lesion classification in Clifford algebra subspaces
The present study develops the Clifford algebra within a dermatological task to diagnose skin melanoma using images of skin lesions, which are modeled here by means of 5D lesion feature vectors (LFVs). The LFV is a numerical approximation of the most used clinical rule for melanoma diagnosis - ABCD. To generate the we develop a new formula that uses the entries of a 5D vector to calculate the entries of a 32D multivector. This vector provides a natural mapping of the original 5D vector onto...
Sur la règle de simplification.
Sur l'axiomatique des systèmes générateurs, des rangs, Applications à certains problèmes combinatoires
Sur le rang et la définissabilité des opérations implicites dans les classes d'algèbres
Sur les homomorphismes d'hypergroupes
Sur quelques problèmes de plongement en algèbre
Sur quelques problèmes de plongements en algèbre
Sur une congruence et l'homomorphisme faible des algèbres universelles
Systems of equations and tolerance relations