The next meeting of the Algebra and Logic Seminar will be held on November 30, 2018 (Friday) at 1:00 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on Artificial Intelligence – Definition, Realization and Consequences (What is this, how to create it, and what we will do after it is created.) will be delivered by Dimiter DOBREV. Everybody is invited.
The next meeting of the Algebra and Logic Seminar will be held on November 30, 2018 (Friday) at 1:00 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on DECOMPOSING NORMALIZED UNITS IN COMMUTATIVE MODULAR GROUP RINGS will be delivered by Peter DANCHEV. Everybody is invited. Abstract Introduction: Suppose G is an abelian p-group and F is a perfect field of characteristic p > 0. As usual, FG denotes the group algebra of G over F with group of normalized units V(FG) and augmentation ideal I(FG;G). For any ideal I of FG, we set I^n as the product of I written n times, where n is an arbitrary fixed natural number. The numerous decompositions of the normed group V(FG), in [...]
The next meeting of the Algebra and Logic Seminar will be held on November 23, 2018 (Friday) at 1:00 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on Primitive length and complexity of computations in algebraic systems will be delivered by Vesselin Drensky (IMI-BAS). Everybody is invited.
The next meeting of the Algebra and Logic Seminar will be held on November 16, 2018 (Friday) at 1:00 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on Generically smooth components of the Hilbert scheme of curves via ruled surfaces will be delivered by Hristo ILIEV (AUBG and IMI-BAS). Everybody is invited.
The next meeting of the Algebra and Logic Seminar will be held on October 5, 2018 (Friday) at 1:00 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on AUTOMORPHISMS OF THE CATEGORY OF FREE COMMUTATIVE DIMONOIDS will be delivered by Yurii ZHUCHOK (Luhansk National Taras Shevchenko University, Ukraine). Everybody is invited. Abstract. We determine all isomorphisms between the endomorphism semigroups of free commutative dimonoids and prove that all automorphisms of the endomorphism semigroup of a free commutative dimonoid are quasi-inner.
The next meeting of the Algebra and Logic Seminar will be held on October 5, 2018 (Friday) at 1:00 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on On the Bhaskhar-Haase conjecture about the Brauer p-dimension of a Henselian discrete valued field of residual characteristic p will be delivered by Ivan Chipchakov. Everybody is invited.
The next meeting of the Algebra and Logic Seminar will be held on September 28, 2018 (Friday) at 1:00 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on THE STRONGLY INVARIANT EXTENDING PROPERTY FOR ABELIAN GROUPS will be delivered by Peter DANCHEV. Everybody is invited. Abstract Introduction: In 2001, the outstanding mathematician Laszlo Fuchs et al. studied in Commun. Algebra the so-called fully invariant extending property for abelian groups and modules, which concept arises quite naturally from the well-known classical definition of a fully invariant subgroup. Definition 1. A subgroup H of an abelian group G is said to be fully invariant if f(H) < H for any endomorphism f : G to G. This can be curiously strengthened to the following notion. Definition [...]
The next meeting of the Algebra and Logic Seminar will be held on June 1, 2018 (Friday) at 1 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on ON THE NILPOTENCY INDEX OF NIL ALGEBRAS will be delivered by Matyas DOMOKOS (Renyi Institute, Budapest). Abstract. Kaplansky proved in 1946 that finitely generated associative nil algebras (over an infinite base field) of bounded nil index are nilpotent. For positive integers n and m (and a fixed infinite base field) denote by d(n,m) the minimal positive integer d such that any nil algebra R generated by m elements and having bounded nil index n is nilpotent of nilpotency degree d. Recent results of Derksen and Makam on generators of rings of matrix [...]
The next meeting of the Algebra and Logic Seminar will be held on June 8, 2018 (Friday) at 1 p.m. in Room 578 of the Institute of Mathematics and Informatics. A talk on THE ORDER OF HYPERSUBSTITUTIONS FOR ALGEBRAIC SYSTEMS OF TYPE ((2);(2)) will be delivered by Dara PHUSANGA (Maejo University, Chiang Mai, Thailand). Everybody is invited. Abstract Hypersubstitutions for algebraic systems [1] are mappings which send operation symbols to terms and relational symbols to formulas preserving arities (see [2]). We used it as the tool to study hyperformulas and solid model classes. In this talk, we study the order of each hypersubstitution for algebraic systems of type ((2);(2)) i.e., the order of the cyclic subsemigroup generated by that hypersubstitution of monoid of all [...]
