3 citations · 5 across the 6 of their papers we have counts for
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Remark on the identities of the grammic monoid with three generators
Mikhail V. Volkov
Grammic monoids have recently been introduced by Christian Choffrut in terms of the action of the free monoid over a fixed ordered alphabet on the set of rows of Young tableaux…
Block-groups and Hall relations
Azza M. Gaysin, Mikhail V. Volkov
A binary relation on a finite set is called a Hall relation if it contains a permutation of the set. Under the usual relational product, Hall relations form a semigroup which is kn…
Identities in Brandt semigroups, revisited
Mikhail V. Volkov
We present a new proof for the main claim made in the author's paper "On the identity bases of Brandt semigroups" (Ural. Gos. Univ. Mat. Zap. 14, no.1 (1985), 38--42); this claim p…
The identities of the free product of a pair of two-element monoids
Mikhail Volkov
Up to isomorphism, there exist two non-isomorphic two-element monoids. We show that the identities of the free product of every pair of such monoids admit no finite basis.
Identities of the Kauffman Monoid
Yuzhu Chen, Xun Hu, N. V. Kitov +2
We give a transparent combinatorial characterization of the identities satisfied by the Kauffman monoid . Our characterization leads to a polynomial time algorithm t…
Inductive groupoids and cross-connections of regular semigroups
P. A. Azeef Muhammed, M. V. Volkov
There are two major structure theorems for an arbitrary regular semigroup using categories, both due to Nambooripad. The first construction using inductive groupoids departs from t…